What is the Least Common Multiple of 98952 and 98971?

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 98952 and 98971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98952 and 98971, than apply into the LCM equation.

GCF(98952,98971) = 19
LCM(98952,98971) = ( 98952 × 98971) / 19
LCM(98952,98971) = 9793378392 / 19
LCM(98952,98971) = 515440968

Least Common Multiple (LCM) of 98952 and 98971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98952 and 98971. First we will calculate the prime factors of 98952 and 98971.

Prime Factorization of 98952

Prime Factorization of 98971

Now multiplying the highest exponent prime factors to calculate the LCM of 98952 and 98971.

LCM(98952,98971) = 2³ × 3¹ × 7¹ × 19¹ × 31¹ × 5209¹
LCM(98952,98971) = 515440968