What is the Least Common Multiple of 43688 and 43701?

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 43701 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 43701, than apply into the LCM equation.

GCF(43688,43701) = 1
LCM(43688,43701) = ( 43688 × 43701) / 1
LCM(43688,43701) = 1909209288 / 1
LCM(43688,43701) = 1909209288

Least Common Multiple (LCM) of 43688 and 43701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43688 and 43701. First we will calculate the prime factors of 43688 and 43701.

Prime Factorization of 43688

Prime Factorization of 43701

Now multiplying the highest exponent prime factors to calculate the LCM of 43688 and 43701.

LCM(43688,43701) = 2³ × 43¹ × 127¹ × 3¹ × 7¹ × 2081¹
LCM(43688,43701) = 1909209288