What is the Least Common Multiple of 89070 and 89074?

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 89070 and 89074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89070 and 89074, than apply into the LCM equation.

GCF(89070,89074) = 2
LCM(89070,89074) = ( 89070 × 89074) / 2
LCM(89070,89074) = 7933821180 / 2
LCM(89070,89074) = 3966910590

Least Common Multiple (LCM) of 89070 and 89074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89070 and 89074. First we will calculate the prime factors of 89070 and 89074.

Prime Factorization of 89070

Prime Factorization of 89074

Now multiplying the highest exponent prime factors to calculate the LCM of 89070 and 89074.

LCM(89070,89074) = 2¹ × 3¹ × 5¹ × 2969¹ × 44537¹
LCM(89070,89074) = 3966910590