What is the Least Common Multiple of 89564 and 89580?

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 89564 and 89580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89564 and 89580, than apply into the LCM equation.

GCF(89564,89580) = 4
LCM(89564,89580) = ( 89564 × 89580) / 4
LCM(89564,89580) = 8023143120 / 4
LCM(89564,89580) = 2005785780

Least Common Multiple (LCM) of 89564 and 89580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89564 and 89580. First we will calculate the prime factors of 89564 and 89580.

Prime Factorization of 89564

Prime Factorization of 89580

Now multiplying the highest exponent prime factors to calculate the LCM of 89564 and 89580.

LCM(89564,89580) = 2² × 22391¹ × 3¹ × 5¹ × 1493¹
LCM(89564,89580) = 2005785780