What is the Least Common Multiple of 43688 and 43707?

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 43688 and 43707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43688 and 43707, than apply into the LCM equation.

GCF(43688,43707) = 1
LCM(43688,43707) = ( 43688 × 43707) / 1
LCM(43688,43707) = 1909471416 / 1
LCM(43688,43707) = 1909471416

Least Common Multiple (LCM) of 43688 and 43707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43688 and 43707. First we will calculate the prime factors of 43688 and 43707.

Prime Factorization of 43688

Prime Factorization of 43707

Now multiplying the highest exponent prime factors to calculate the LCM of 43688 and 43707.

LCM(43688,43707) = 2³ × 43¹ × 127¹ × 3¹ × 17¹ × 857¹
LCM(43688,43707) = 1909471416