What is the Least Common Multiple of 36573 and 36579?

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 36573 and 36579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36573 and 36579, than apply into the LCM equation.

GCF(36573,36579) = 3
LCM(36573,36579) = ( 36573 × 36579) / 3
LCM(36573,36579) = 1337803767 / 3
LCM(36573,36579) = 445934589

Least Common Multiple (LCM) of 36573 and 36579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36573 and 36579. First we will calculate the prime factors of 36573 and 36579.

Prime Factorization of 36573

Prime Factorization of 36579

Now multiplying the highest exponent prime factors to calculate the LCM of 36573 and 36579.

LCM(36573,36579) = 3¹ × 73¹ × 167¹ × 89¹ × 137¹
LCM(36573,36579) = 445934589