What is the Least Common Multiple of 43716 and 43735?

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 43716 and 43735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43716 and 43735, than apply into the LCM equation.

GCF(43716,43735) = 1
LCM(43716,43735) = ( 43716 × 43735) / 1
LCM(43716,43735) = 1911919260 / 1
LCM(43716,43735) = 1911919260

Least Common Multiple (LCM) of 43716 and 43735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43716 and 43735. First we will calculate the prime factors of 43716 and 43735.

Prime Factorization of 43716

Prime Factorization of 43735

Now multiplying the highest exponent prime factors to calculate the LCM of 43716 and 43735.

LCM(43716,43735) = 2² × 3¹ × 3643¹ × 5¹ × 8747¹
LCM(43716,43735) = 1911919260