What is the Least Common Multiple of 68908 and 68925?

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 68908 and 68925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68908 and 68925, than apply into the LCM equation.

GCF(68908,68925) = 1
LCM(68908,68925) = ( 68908 × 68925) / 1
LCM(68908,68925) = 4749483900 / 1
LCM(68908,68925) = 4749483900

Least Common Multiple (LCM) of 68908 and 68925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68908 and 68925. First we will calculate the prime factors of 68908 and 68925.

Prime Factorization of 68908

Prime Factorization of 68925

Now multiplying the highest exponent prime factors to calculate the LCM of 68908 and 68925.

LCM(68908,68925) = 2² × 7¹ × 23¹ × 107¹ × 3¹ × 5² × 919¹
LCM(68908,68925) = 4749483900