What is the Least Common Multiple of 7914 and 7925?

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 of 7914 and 7925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7914 and 7925, than apply into the LCM equation.

GCF(7914,7925) = 1
LCM(7914,7925) = ( 7914 × 7925) / 1
LCM(7914,7925) = 62718450 / 1
LCM(7914,7925) = 62718450

Least Common Multiple (LCM) of 7914 and 7925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7914 and 7925. First we will calculate the prime factors of 7914 and 7925.

Prime Factorization of 7914

Prime Factorization of 7925

Now multiplying the highest exponent prime factors to calculate the LCM of 7914 and 7925.

LCM(7914,7925) = 2¹ × 3¹ × 1319¹ × 5² × 317¹
LCM(7914,7925) = 62718450