What is the Least Common Multiple of 72696 and 72705?

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 72696 and 72705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72696 and 72705, than apply into the LCM equation.

GCF(72696,72705) = 3
LCM(72696,72705) = ( 72696 × 72705) / 3
LCM(72696,72705) = 5285362680 / 3
LCM(72696,72705) = 1761787560

Least Common Multiple (LCM) of 72696 and 72705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72696 and 72705. First we will calculate the prime factors of 72696 and 72705.

Prime Factorization of 72696

Prime Factorization of 72705

Now multiplying the highest exponent prime factors to calculate the LCM of 72696 and 72705.

LCM(72696,72705) = 2³ × 3¹ × 13¹ × 233¹ × 5¹ × 37¹ × 131¹
LCM(72696,72705) = 1761787560