What is the Least Common Multiple of 8961 and 8967?

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 8961 and 8967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8961 and 8967, than apply into the LCM equation.

GCF(8961,8967) = 3
LCM(8961,8967) = ( 8961 × 8967) / 3
LCM(8961,8967) = 80353287 / 3
LCM(8961,8967) = 26784429

Least Common Multiple (LCM) of 8961 and 8967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8961 and 8967. First we will calculate the prime factors of 8961 and 8967.

Prime Factorization of 8961

Prime Factorization of 8967

Now multiplying the highest exponent prime factors to calculate the LCM of 8961 and 8967.

LCM(8961,8967) = 3¹ × 29¹ × 103¹ × 7² × 61¹
LCM(8961,8967) = 26784429