What is the Least Common Multiple of 8955 and 8970?

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 8955 and 8970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8955 and 8970, than apply into the LCM equation.

GCF(8955,8970) = 15
LCM(8955,8970) = ( 8955 × 8970) / 15
LCM(8955,8970) = 80326350 / 15
LCM(8955,8970) = 5355090

Least Common Multiple (LCM) of 8955 and 8970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8955 and 8970. First we will calculate the prime factors of 8955 and 8970.

Prime Factorization of 8955

Prime Factorization of 8970

Now multiplying the highest exponent prime factors to calculate the LCM of 8955 and 8970.

LCM(8955,8970) = 3² × 5¹ × 199¹ × 2¹ × 13¹ × 23¹
LCM(8955,8970) = 5355090