What is the Least Common Multiple of 43715 and 43728?

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 43715 and 43728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43715 and 43728, than apply into the LCM equation.

GCF(43715,43728) = 1
LCM(43715,43728) = ( 43715 × 43728) / 1
LCM(43715,43728) = 1911569520 / 1
LCM(43715,43728) = 1911569520

Least Common Multiple (LCM) of 43715 and 43728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43715 and 43728. First we will calculate the prime factors of 43715 and 43728.

Prime Factorization of 43715

Prime Factorization of 43728

Now multiplying the highest exponent prime factors to calculate the LCM of 43715 and 43728.

LCM(43715,43728) = 5¹ × 7¹ × 1249¹ × 2⁴ × 3¹ × 911¹
LCM(43715,43728) = 1911569520