What is the Least Common Multiple of 96961 and 96977?

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 96961 and 96977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96961 and 96977, than apply into the LCM equation.

GCF(96961,96977) = 1
LCM(96961,96977) = ( 96961 × 96977) / 1
LCM(96961,96977) = 9402986897 / 1
LCM(96961,96977) = 9402986897

Least Common Multiple (LCM) of 96961 and 96977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96961 and 96977. First we will calculate the prime factors of 96961 and 96977.

Prime Factorization of 96961

Prime Factorization of 96977

Now multiplying the highest exponent prime factors to calculate the LCM of 96961 and 96977.

LCM(96961,96977) = 47¹ × 2063¹ × 37¹ × 2621¹
LCM(96961,96977) = 9402986897