What is the Least Common Multiple of 8954 and 8962?

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 8954 and 8962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8954 and 8962, than apply into the LCM equation.

GCF(8954,8962) = 2
LCM(8954,8962) = ( 8954 × 8962) / 2
LCM(8954,8962) = 80245748 / 2
LCM(8954,8962) = 40122874

Least Common Multiple (LCM) of 8954 and 8962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8954 and 8962. First we will calculate the prime factors of 8954 and 8962.

Prime Factorization of 8954

Prime Factorization of 8962

Now multiplying the highest exponent prime factors to calculate the LCM of 8954 and 8962.

LCM(8954,8962) = 2¹ × 11² × 37¹ × 4481¹
LCM(8954,8962) = 40122874