What is the Least Common Multiple of 97988 and 97996?

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 97988 and 97996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97988 and 97996, than apply into the LCM equation.

GCF(97988,97996) = 4
LCM(97988,97996) = ( 97988 × 97996) / 4
LCM(97988,97996) = 9602432048 / 4
LCM(97988,97996) = 2400608012

Least Common Multiple (LCM) of 97988 and 97996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97988 and 97996. First we will calculate the prime factors of 97988 and 97996.

Prime Factorization of 97988

Prime Factorization of 97996

Now multiplying the highest exponent prime factors to calculate the LCM of 97988 and 97996.

LCM(97988,97996) = 2² × 11¹ × 17¹ × 131¹ × 24499¹
LCM(97988,97996) = 2400608012