What is the Least Common Multiple of 754 and 772?
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 754 and 772 is 291044.
LCM(754,772) = 291044
Least Common Multiple of 754 and 772 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 754 and 772, than apply into the LCM equation.
GCF(754,772) = 2
LCM(754,772) = ( 754 × 772) / 2
LCM(754,772) = 582088 / 2
LCM(754,772) = 291044
Least Common Multiple (LCM) of 754 and 772 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 772. First we will calculate the prime factors of 754 and 772.
Prime Factorization of 754
Prime factors of 754 are 2, 13, 29. Prime factorization of 754 in exponential form is:
754 = 21 × 131 × 291
Prime Factorization of 772
Prime factors of 772 are 2, 193. Prime factorization of 772 in exponential form is:
772 = 22 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 754 and 772.
LCM(754,772) = 22 × 131 × 291 × 1931
LCM(754,772) = 291044
Related Least Common Multiples of 754
- LCM of 754 and 758
- LCM of 754 and 759
- LCM of 754 and 760
- LCM of 754 and 761
- LCM of 754 and 762
- LCM of 754 and 763
- LCM of 754 and 764
- LCM of 754 and 765
- LCM of 754 and 766
- LCM of 754 and 767
- LCM of 754 and 768
- LCM of 754 and 769
- LCM of 754 and 770
- LCM of 754 and 771
- LCM of 754 and 772
- LCM of 754 and 773
- LCM of 754 and 774
Related Least Common Multiples of 772
- LCM of 772 and 776
- LCM of 772 and 777
- LCM of 772 and 778
- LCM of 772 and 779
- LCM of 772 and 780
- LCM of 772 and 781
- LCM of 772 and 782
- LCM of 772 and 783
- LCM of 772 and 784
- LCM of 772 and 785
- LCM of 772 and 786
- LCM of 772 and 787
- LCM of 772 and 788
- LCM of 772 and 789
- LCM of 772 and 790
- LCM of 772 and 791
- LCM of 772 and 792