What is the Least Common Multiple of 96977 and 96996?

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 96977 and 96996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96977 and 96996, than apply into the LCM equation.

GCF(96977,96996) = 1
LCM(96977,96996) = ( 96977 × 96996) / 1
LCM(96977,96996) = 9406381092 / 1
LCM(96977,96996) = 9406381092

Least Common Multiple (LCM) of 96977 and 96996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96977 and 96996. First we will calculate the prime factors of 96977 and 96996.

Prime Factorization of 96977

Prime Factorization of 96996

Now multiplying the highest exponent prime factors to calculate the LCM of 96977 and 96996.

LCM(96977,96996) = 37¹ × 2621¹ × 2² × 3¹ × 59¹ × 137¹
LCM(96977,96996) = 9406381092