What is the Least Common Multiple of 89744 and 89752?

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 89744 and 89752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89744 and 89752, than apply into the LCM equation.

GCF(89744,89752) = 8
LCM(89744,89752) = ( 89744 × 89752) / 8
LCM(89744,89752) = 8054703488 / 8
LCM(89744,89752) = 1006837936

Least Common Multiple (LCM) of 89744 and 89752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89744 and 89752. First we will calculate the prime factors of 89744 and 89752.

Prime Factorization of 89744

Prime Factorization of 89752

Now multiplying the highest exponent prime factors to calculate the LCM of 89744 and 89752.

LCM(89744,89752) = 2⁴ × 71¹ × 79¹ × 13¹ × 863¹
LCM(89744,89752) = 1006837936