What is the Least Common Multiple of 89250 and 89264?

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 89250 and 89264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89250 and 89264, than apply into the LCM equation.

GCF(89250,89264) = 14
LCM(89250,89264) = ( 89250 × 89264) / 14
LCM(89250,89264) = 7966812000 / 14
LCM(89250,89264) = 569058000

Least Common Multiple (LCM) of 89250 and 89264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89250 and 89264. First we will calculate the prime factors of 89250 and 89264.

Prime Factorization of 89250

Prime Factorization of 89264

Now multiplying the highest exponent prime factors to calculate the LCM of 89250 and 89264.

LCM(89250,89264) = 2⁴ × 3¹ × 5³ × 7¹ × 17¹ × 797¹
LCM(89250,89264) = 569058000