What is the Least Common Multiple of 21365 and 21372?

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 21365 and 21372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21365 and 21372, than apply into the LCM equation.

GCF(21365,21372) = 1
LCM(21365,21372) = ( 21365 × 21372) / 1
LCM(21365,21372) = 456612780 / 1
LCM(21365,21372) = 456612780

Least Common Multiple (LCM) of 21365 and 21372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21365 and 21372. First we will calculate the prime factors of 21365 and 21372.

Prime Factorization of 21365

Prime Factorization of 21372

Now multiplying the highest exponent prime factors to calculate the LCM of 21365 and 21372.

LCM(21365,21372) = 5¹ × 4273¹ × 2² × 3¹ × 13¹ × 137¹
LCM(21365,21372) = 456612780