What is the Least Common Multiple of 89046 and 89057?

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 89046 and 89057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89046 and 89057, than apply into the LCM equation.

GCF(89046,89057) = 1
LCM(89046,89057) = ( 89046 × 89057) / 1
LCM(89046,89057) = 7930169622 / 1
LCM(89046,89057) = 7930169622

Least Common Multiple (LCM) of 89046 and 89057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89046 and 89057. First we will calculate the prime factors of 89046 and 89057.

Prime Factorization of 89046

Prime Factorization of 89057

Now multiplying the highest exponent prime factors to calculate the LCM of 89046 and 89057.

LCM(89046,89057) = 2¹ × 3³ × 17¹ × 97¹ × 89057¹
LCM(89046,89057) = 7930169622