What is the Least Common Multiple of 98972 and 98977?

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 98972 and 98977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98972 and 98977, than apply into the LCM equation.

GCF(98972,98977) = 1
LCM(98972,98977) = ( 98972 × 98977) / 1
LCM(98972,98977) = 9795951644 / 1
LCM(98972,98977) = 9795951644

Least Common Multiple (LCM) of 98972 and 98977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98972 and 98977. First we will calculate the prime factors of 98972 and 98977.

Prime Factorization of 98972

Prime Factorization of 98977

Now multiplying the highest exponent prime factors to calculate the LCM of 98972 and 98977.

LCM(98972,98977) = 2² × 109¹ × 227¹ × 29¹ × 3413¹
LCM(98972,98977) = 9795951644