What is the Least Common Multiple of 68900 and 68908?

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 68900 and 68908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68900 and 68908, than apply into the LCM equation.

GCF(68900,68908) = 4
LCM(68900,68908) = ( 68900 × 68908) / 4
LCM(68900,68908) = 4747761200 / 4
LCM(68900,68908) = 1186940300

Least Common Multiple (LCM) of 68900 and 68908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68900 and 68908. First we will calculate the prime factors of 68900 and 68908.

Prime Factorization of 68900

Prime Factorization of 68908

Now multiplying the highest exponent prime factors to calculate the LCM of 68900 and 68908.

LCM(68900,68908) = 2² × 5² × 13¹ × 53¹ × 7¹ × 23¹ × 107¹
LCM(68900,68908) = 1186940300