What is the Least Common Multiple of 45588 and 45597?

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 45588 and 45597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45588 and 45597, than apply into the LCM equation.

GCF(45588,45597) = 3
LCM(45588,45597) = ( 45588 × 45597) / 3
LCM(45588,45597) = 2078676036 / 3
LCM(45588,45597) = 692892012

Least Common Multiple (LCM) of 45588 and 45597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45588 and 45597. First we will calculate the prime factors of 45588 and 45597.

Prime Factorization of 45588

Prime Factorization of 45597

Now multiplying the highest exponent prime factors to calculate the LCM of 45588 and 45597.

LCM(45588,45597) = 2² × 3¹ × 29¹ × 131¹ × 15199¹
LCM(45588,45597) = 692892012