What is the Least Common Multiple of 8970 and 8984?

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 8984 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 8984, than apply into the LCM equation.

GCF(8970,8984) = 2
LCM(8970,8984) = ( 8970 × 8984) / 2
LCM(8970,8984) = 80586480 / 2
LCM(8970,8984) = 40293240

Least Common Multiple (LCM) of 8970 and 8984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8970 and 8984. First we will calculate the prime factors of 8970 and 8984.

Prime Factorization of 8970

Prime Factorization of 8984

Now multiplying the highest exponent prime factors to calculate the LCM of 8970 and 8984.

LCM(8970,8984) = 2³ × 3¹ × 5¹ × 13¹ × 23¹ × 1123¹
LCM(8970,8984) = 40293240