What is the Least Common Multiple of 97912 and 97916?

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 97912 and 97916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97912 and 97916, than apply into the LCM equation.

GCF(97912,97916) = 4
LCM(97912,97916) = ( 97912 × 97916) / 4
LCM(97912,97916) = 9587151392 / 4
LCM(97912,97916) = 2396787848

Least Common Multiple (LCM) of 97912 and 97916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97912 and 97916. First we will calculate the prime factors of 97912 and 97916.

Prime Factorization of 97912

Prime Factorization of 97916

Now multiplying the highest exponent prime factors to calculate the LCM of 97912 and 97916.

LCM(97912,97916) = 2³ × 12239¹ × 7¹ × 13¹ × 269¹
LCM(97912,97916) = 2396787848