What is the Least Common Multiple of 72356 and 72360?

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 72356 and 72360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72356 and 72360, than apply into the LCM equation.

GCF(72356,72360) = 4
LCM(72356,72360) = ( 72356 × 72360) / 4
LCM(72356,72360) = 5235680160 / 4
LCM(72356,72360) = 1308920040

Least Common Multiple (LCM) of 72356 and 72360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72356 and 72360. First we will calculate the prime factors of 72356 and 72360.

Prime Factorization of 72356

Prime Factorization of 72360

Now multiplying the highest exponent prime factors to calculate the LCM of 72356 and 72360.

LCM(72356,72360) = 2³ × 18089¹ × 3³ × 5¹ × 67¹
LCM(72356,72360) = 1308920040