What is the Least Common Multiple of 8970 and 8975?

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 8970 and 8975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8970 and 8975, than apply into the LCM equation.

GCF(8970,8975) = 5
LCM(8970,8975) = ( 8970 × 8975) / 5
LCM(8970,8975) = 80505750 / 5
LCM(8970,8975) = 16101150

Least Common Multiple (LCM) of 8970 and 8975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8970 and 8975. First we will calculate the prime factors of 8970 and 8975.

Prime Factorization of 8970

Prime Factorization of 8975

Now multiplying the highest exponent prime factors to calculate the LCM of 8970 and 8975.

LCM(8970,8975) = 2¹ × 3¹ × 5² × 13¹ × 23¹ × 359¹
LCM(8970,8975) = 16101150