What is the Least Common Multiple of 45321 and 45336?

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 45321 and 45336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45321 and 45336, than apply into the LCM equation.

GCF(45321,45336) = 3
LCM(45321,45336) = ( 45321 × 45336) / 3
LCM(45321,45336) = 2054672856 / 3
LCM(45321,45336) = 684890952

Least Common Multiple (LCM) of 45321 and 45336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45321 and 45336. First we will calculate the prime factors of 45321 and 45336.

Prime Factorization of 45321

Prime Factorization of 45336

Now multiplying the highest exponent prime factors to calculate the LCM of 45321 and 45336.

LCM(45321,45336) = 3¹ × 15107¹ × 2³ × 1889¹
LCM(45321,45336) = 684890952