What is the Least Common Multiple of 72360 and 72380?

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 72360 and 72380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72360 and 72380, than apply into the LCM equation.

GCF(72360,72380) = 20
LCM(72360,72380) = ( 72360 × 72380) / 20
LCM(72360,72380) = 5237416800 / 20
LCM(72360,72380) = 261870840

Least Common Multiple (LCM) of 72360 and 72380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72360 and 72380. First we will calculate the prime factors of 72360 and 72380.

Prime Factorization of 72360

Prime Factorization of 72380

Now multiplying the highest exponent prime factors to calculate the LCM of 72360 and 72380.

LCM(72360,72380) = 2³ × 3³ × 5¹ × 67¹ × 7¹ × 11¹ × 47¹
LCM(72360,72380) = 261870840