What is the Least Common Multiple of 43538 and 43552?

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 43538 and 43552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43538 and 43552, than apply into the LCM equation.

GCF(43538,43552) = 2
LCM(43538,43552) = ( 43538 × 43552) / 2
LCM(43538,43552) = 1896166976 / 2
LCM(43538,43552) = 948083488

Least Common Multiple (LCM) of 43538 and 43552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43538 and 43552. First we will calculate the prime factors of 43538 and 43552.

Prime Factorization of 43538

Prime Factorization of 43552

Now multiplying the highest exponent prime factors to calculate the LCM of 43538 and 43552.

LCM(43538,43552) = 2⁵ × 11¹ × 1979¹ × 1361¹
LCM(43538,43552) = 948083488