What is the Least Common Multiple of 96996 and 97012?

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 96996 and 97012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96996 and 97012, than apply into the LCM equation.

GCF(96996,97012) = 4
LCM(96996,97012) = ( 96996 × 97012) / 4
LCM(96996,97012) = 9409775952 / 4
LCM(96996,97012) = 2352443988

Least Common Multiple (LCM) of 96996 and 97012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96996 and 97012. First we will calculate the prime factors of 96996 and 97012.

Prime Factorization of 96996

Prime Factorization of 97012

Now multiplying the highest exponent prime factors to calculate the LCM of 96996 and 97012.

LCM(96996,97012) = 2² × 3¹ × 59¹ × 137¹ × 79¹ × 307¹
LCM(96996,97012) = 2352443988