What is the Least Common Multiple of 89070 and 89085?

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 89085 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 89085, than apply into the LCM equation.

GCF(89070,89085) = 15
LCM(89070,89085) = ( 89070 × 89085) / 15
LCM(89070,89085) = 7934800950 / 15
LCM(89070,89085) = 528986730

Least Common Multiple (LCM) of 89070 and 89085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89070 and 89085. First we will calculate the prime factors of 89070 and 89085.

Prime Factorization of 89070

Prime Factorization of 89085

Now multiplying the highest exponent prime factors to calculate the LCM of 89070 and 89085.

LCM(89070,89085) = 2¹ × 3¹ × 5¹ × 2969¹ × 5939¹
LCM(89070,89085) = 528986730