What is the Least Common Multiple of 21060 and 21072?

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 21060 and 21072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21060 and 21072, than apply into the LCM equation.

GCF(21060,21072) = 12
LCM(21060,21072) = ( 21060 × 21072) / 12
LCM(21060,21072) = 443776320 / 12
LCM(21060,21072) = 36981360

Least Common Multiple (LCM) of 21060 and 21072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21060 and 21072. First we will calculate the prime factors of 21060 and 21072.

Prime Factorization of 21060

Prime Factorization of 21072

Now multiplying the highest exponent prime factors to calculate the LCM of 21060 and 21072.

LCM(21060,21072) = 2⁴ × 3⁴ × 5¹ × 13¹ × 439¹
LCM(21060,21072) = 36981360