What is the Least Common Multiple of 97916 and 97930?

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 97930 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 97930, than apply into the LCM equation.

GCF(97916,97930) = 14
LCM(97916,97930) = ( 97916 × 97930) / 14
LCM(97916,97930) = 9588913880 / 14
LCM(97916,97930) = 684922420

Least Common Multiple (LCM) of 97916 and 97930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97916 and 97930. First we will calculate the prime factors of 97916 and 97930.

Prime Factorization of 97916

Prime Factorization of 97930

Now multiplying the highest exponent prime factors to calculate the LCM of 97916 and 97930.

LCM(97916,97930) = 2² × 7¹ × 13¹ × 269¹ × 5¹ × 1399¹
LCM(97916,97930) = 684922420