What is the Least Common Multiple of 89654 and 89672?

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 89654 and 89672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89654 and 89672, than apply into the LCM equation.

GCF(89654,89672) = 2
LCM(89654,89672) = ( 89654 × 89672) / 2
LCM(89654,89672) = 8039453488 / 2
LCM(89654,89672) = 4019726744

Least Common Multiple (LCM) of 89654 and 89672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89654 and 89672. First we will calculate the prime factors of 89654 and 89672.

Prime Factorization of 89654

Prime Factorization of 89672

Now multiplying the highest exponent prime factors to calculate the LCM of 89654 and 89672.

LCM(89654,89672) = 2³ × 23¹ × 1949¹ × 11¹ × 1019¹
LCM(89654,89672) = 4019726744