What is the Least Common Multiple of 89948 and 89962?

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 89948 and 89962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89948 and 89962, than apply into the LCM equation.

GCF(89948,89962) = 2
LCM(89948,89962) = ( 89948 × 89962) / 2
LCM(89948,89962) = 8091901976 / 2
LCM(89948,89962) = 4045950988

Least Common Multiple (LCM) of 89948 and 89962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89948 and 89962. First we will calculate the prime factors of 89948 and 89962.

Prime Factorization of 89948

Prime Factorization of 89962

Now multiplying the highest exponent prime factors to calculate the LCM of 89948 and 89962.

LCM(89948,89962) = 2² × 113¹ × 199¹ × 31¹ × 1451¹
LCM(89948,89962) = 4045950988