What is the Least Common Multiple of 73560 and 73577?

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 73560 and 73577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73560 and 73577, than apply into the LCM equation.

GCF(73560,73577) = 1
LCM(73560,73577) = ( 73560 × 73577) / 1
LCM(73560,73577) = 5412324120 / 1
LCM(73560,73577) = 5412324120

Least Common Multiple (LCM) of 73560 and 73577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73560 and 73577. First we will calculate the prime factors of 73560 and 73577.

Prime Factorization of 73560

Prime Factorization of 73577

Now multiplying the highest exponent prime factors to calculate the LCM of 73560 and 73577.

LCM(73560,73577) = 2³ × 3¹ × 5¹ × 613¹ × 7¹ × 23¹ × 457¹
LCM(73560,73577) = 5412324120