What is the Least Common Multiple of 43614 and 43632?

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 43614 and 43632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43614 and 43632, than apply into the LCM equation.

GCF(43614,43632) = 18
LCM(43614,43632) = ( 43614 × 43632) / 18
LCM(43614,43632) = 1902966048 / 18
LCM(43614,43632) = 105720336

Least Common Multiple (LCM) of 43614 and 43632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43614 and 43632. First we will calculate the prime factors of 43614 and 43632.

Prime Factorization of 43614

Prime Factorization of 43632

Now multiplying the highest exponent prime factors to calculate the LCM of 43614 and 43632.

LCM(43614,43632) = 2⁴ × 3³ × 2423¹ × 101¹
LCM(43614,43632) = 105720336