What is the Least Common Multiple of 656 and 670?
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 656 and 670 is 219760.
LCM(656,670) = 219760
Least Common Multiple of 656 and 670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 656 and 670, than apply into the LCM equation.
GCF(656,670) = 2
LCM(656,670) = ( 656 × 670) / 2
LCM(656,670) = 439520 / 2
LCM(656,670) = 219760
Least Common Multiple (LCM) of 656 and 670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 670. First we will calculate the prime factors of 656 and 670.
Prime Factorization of 656
Prime factors of 656 are 2, 41. Prime factorization of 656 in exponential form is:
656 = 24 × 411
Prime Factorization of 670
Prime factors of 670 are 2, 5, 67. Prime factorization of 670 in exponential form is:
670 = 21 × 51 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 670.
LCM(656,670) = 24 × 411 × 51 × 671
LCM(656,670) = 219760
Related Least Common Multiples of 656
- LCM of 656 and 660
- LCM of 656 and 661
- LCM of 656 and 662
- LCM of 656 and 663
- LCM of 656 and 664
- LCM of 656 and 665
- LCM of 656 and 666
- LCM of 656 and 667
- LCM of 656 and 668
- LCM of 656 and 669
- LCM of 656 and 670
- LCM of 656 and 671
- LCM of 656 and 672
- LCM of 656 and 673
- LCM of 656 and 674
- LCM of 656 and 675
- LCM of 656 and 676
Related Least Common Multiples of 670
- LCM of 670 and 674
- LCM of 670 and 675
- LCM of 670 and 676
- LCM of 670 and 677
- LCM of 670 and 678
- LCM of 670 and 679
- LCM of 670 and 680
- LCM of 670 and 681
- LCM of 670 and 682
- LCM of 670 and 683
- LCM of 670 and 684
- LCM of 670 and 685
- LCM of 670 and 686
- LCM of 670 and 687
- LCM of 670 and 688
- LCM of 670 and 689
- LCM of 670 and 690