What is the Least Common Multiple of 8954 and 8972?

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 8972 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 8972, than apply into the LCM equation.

GCF(8954,8972) = 2
LCM(8954,8972) = ( 8954 × 8972) / 2
LCM(8954,8972) = 80335288 / 2
LCM(8954,8972) = 40167644

Least Common Multiple (LCM) of 8954 and 8972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8954 and 8972. First we will calculate the prime factors of 8954 and 8972.

Prime Factorization of 8954

Prime Factorization of 8972

Now multiplying the highest exponent prime factors to calculate the LCM of 8954 and 8972.

LCM(8954,8972) = 2² × 11² × 37¹ × 2243¹
LCM(8954,8972) = 40167644