What is the Least Common Multiple of 68900 and 68916?

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 68916 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 68916, than apply into the LCM equation.

GCF(68900,68916) = 4
LCM(68900,68916) = ( 68900 × 68916) / 4
LCM(68900,68916) = 4748312400 / 4
LCM(68900,68916) = 1187078100

Least Common Multiple (LCM) of 68900 and 68916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68900 and 68916. First we will calculate the prime factors of 68900 and 68916.

Prime Factorization of 68900

Prime Factorization of 68916

Now multiplying the highest exponent prime factors to calculate the LCM of 68900 and 68916.

LCM(68900,68916) = 2² × 5² × 13¹ × 53¹ × 3¹ × 5743¹
LCM(68900,68916) = 1187078100