What is the Least Common Multiple of 89256 and 89270?

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 89256 and 89270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89256 and 89270, than apply into the LCM equation.

GCF(89256,89270) = 2
LCM(89256,89270) = ( 89256 × 89270) / 2
LCM(89256,89270) = 7967883120 / 2
LCM(89256,89270) = 3983941560

Least Common Multiple (LCM) of 89256 and 89270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89256 and 89270. First we will calculate the prime factors of 89256 and 89270.

Prime Factorization of 89256

Prime Factorization of 89270

Now multiplying the highest exponent prime factors to calculate the LCM of 89256 and 89270.

LCM(89256,89270) = 2³ × 3¹ × 3719¹ × 5¹ × 79¹ × 113¹
LCM(89256,89270) = 3983941560