What is the Least Common Multiple of 21045 and 21060?

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 21045 and 21060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21045 and 21060, than apply into the LCM equation.

GCF(21045,21060) = 15
LCM(21045,21060) = ( 21045 × 21060) / 15
LCM(21045,21060) = 443207700 / 15
LCM(21045,21060) = 29547180

Least Common Multiple (LCM) of 21045 and 21060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21045 and 21060. First we will calculate the prime factors of 21045 and 21060.

Prime Factorization of 21045

Prime Factorization of 21060

Now multiplying the highest exponent prime factors to calculate the LCM of 21045 and 21060.

LCM(21045,21060) = 3⁴ × 5¹ × 23¹ × 61¹ × 2² × 13¹
LCM(21045,21060) = 29547180