What is the Least Common Multiple of 67900 and 67916?

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 67900 and 67916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67900 and 67916, than apply into the LCM equation.

GCF(67900,67916) = 4
LCM(67900,67916) = ( 67900 × 67916) / 4
LCM(67900,67916) = 4611496400 / 4
LCM(67900,67916) = 1152874100

Least Common Multiple (LCM) of 67900 and 67916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67900 and 67916. First we will calculate the prime factors of 67900 and 67916.

Prime Factorization of 67900

Prime Factorization of 67916

Now multiplying the highest exponent prime factors to calculate the LCM of 67900 and 67916.

LCM(67900,67916) = 2² × 5² × 7¹ × 97¹ × 16979¹
LCM(67900,67916) = 1152874100