What is the Least Common Multiple of 68908 and 68920?

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 68920 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 68920, than apply into the LCM equation.

GCF(68908,68920) = 4
LCM(68908,68920) = ( 68908 × 68920) / 4
LCM(68908,68920) = 4749139360 / 4
LCM(68908,68920) = 1187284840

Least Common Multiple (LCM) of 68908 and 68920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68908 and 68920. First we will calculate the prime factors of 68908 and 68920.

Prime Factorization of 68908

Prime Factorization of 68920

Now multiplying the highest exponent prime factors to calculate the LCM of 68908 and 68920.

LCM(68908,68920) = 2³ × 7¹ × 23¹ × 107¹ × 5¹ × 1723¹
LCM(68908,68920) = 1187284840