What is the Least Common Multiple of 89248 and 89260?

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 89248 and 89260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89248 and 89260, than apply into the LCM equation.

GCF(89248,89260) = 4
LCM(89248,89260) = ( 89248 × 89260) / 4
LCM(89248,89260) = 7966276480 / 4
LCM(89248,89260) = 1991569120

Least Common Multiple (LCM) of 89248 and 89260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89248 and 89260. First we will calculate the prime factors of 89248 and 89260.

Prime Factorization of 89248

Prime Factorization of 89260

Now multiplying the highest exponent prime factors to calculate the LCM of 89248 and 89260.

LCM(89248,89260) = 2⁵ × 2789¹ × 5¹ × 4463¹
LCM(89248,89260) = 1991569120