What is the Least Common Multiple of 43650 and 43670?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 43650 and 43670 is 190619550.
LCM(43650,43670) = 190619550
Least Common Multiple of 43650 and 43670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43650 and 43670, than apply into the LCM equation.
GCF(43650,43670) = 10
LCM(43650,43670) = ( 43650 × 43670) / 10
LCM(43650,43670) = 1906195500 / 10
LCM(43650,43670) = 190619550
Least Common Multiple (LCM) of 43650 and 43670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43650 and 43670. First we will calculate the prime factors of 43650 and 43670.
Prime Factorization of 43650
Prime factors of 43650 are 2, 3, 5, 97. Prime factorization of 43650 in exponential form is:
43650 = 21 × 32 × 52 × 971
Prime Factorization of 43670
Prime factors of 43670 are 2, 5, 11, 397. Prime factorization of 43670 in exponential form is:
43670 = 21 × 51 × 111 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 43650 and 43670.
LCM(43650,43670) = 21 × 32 × 52 × 971 × 111 × 3971
LCM(43650,43670) = 190619550
Related Least Common Multiples of 43650
- LCM of 43650 and 43654
- LCM of 43650 and 43655
- LCM of 43650 and 43656
- LCM of 43650 and 43657
- LCM of 43650 and 43658
- LCM of 43650 and 43659
- LCM of 43650 and 43660
- LCM of 43650 and 43661
- LCM of 43650 and 43662
- LCM of 43650 and 43663
- LCM of 43650 and 43664
- LCM of 43650 and 43665
- LCM of 43650 and 43666
- LCM of 43650 and 43667
- LCM of 43650 and 43668
- LCM of 43650 and 43669
- LCM of 43650 and 43670
Related Least Common Multiples of 43670
- LCM of 43670 and 43674
- LCM of 43670 and 43675
- LCM of 43670 and 43676
- LCM of 43670 and 43677
- LCM of 43670 and 43678
- LCM of 43670 and 43679
- LCM of 43670 and 43680
- LCM of 43670 and 43681
- LCM of 43670 and 43682
- LCM of 43670 and 43683
- LCM of 43670 and 43684
- LCM of 43670 and 43685
- LCM of 43670 and 43686
- LCM of 43670 and 43687
- LCM of 43670 and 43688
- LCM of 43670 and 43689
- LCM of 43670 and 43690