What is the Least Common Multiple of 97916 and 97932?

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 97916 and 97932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97916 and 97932, than apply into the LCM equation.

GCF(97916,97932) = 4
LCM(97916,97932) = ( 97916 × 97932) / 4
LCM(97916,97932) = 9589109712 / 4
LCM(97916,97932) = 2397277428

Least Common Multiple (LCM) of 97916 and 97932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97916 and 97932. First we will calculate the prime factors of 97916 and 97932.

Prime Factorization of 97916

Prime Factorization of 97932

Now multiplying the highest exponent prime factors to calculate the LCM of 97916 and 97932.

LCM(97916,97932) = 2² × 7¹ × 13¹ × 269¹ × 3¹ × 8161¹
LCM(97916,97932) = 2397277428