What is the Least Common Multiple of 72705 and 72724?

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 72705 and 72724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72705 and 72724, than apply into the LCM equation.

GCF(72705,72724) = 1
LCM(72705,72724) = ( 72705 × 72724) / 1
LCM(72705,72724) = 5287398420 / 1
LCM(72705,72724) = 5287398420

Least Common Multiple (LCM) of 72705 and 72724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72705 and 72724. First we will calculate the prime factors of 72705 and 72724.

Prime Factorization of 72705

Prime Factorization of 72724

Now multiplying the highest exponent prime factors to calculate the LCM of 72705 and 72724.

LCM(72705,72724) = 3¹ × 5¹ × 37¹ × 131¹ × 2² × 18181¹
LCM(72705,72724) = 5287398420