What is the Least Common Multiple of 21762 and 21780?

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 21762 and 21780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21762 and 21780, than apply into the LCM equation.

GCF(21762,21780) = 18
LCM(21762,21780) = ( 21762 × 21780) / 18
LCM(21762,21780) = 473976360 / 18
LCM(21762,21780) = 26332020

Least Common Multiple (LCM) of 21762 and 21780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21762 and 21780. First we will calculate the prime factors of 21762 and 21780.

Prime Factorization of 21762

Prime Factorization of 21780

Now multiplying the highest exponent prime factors to calculate the LCM of 21762 and 21780.

LCM(21762,21780) = 2² × 3³ × 13¹ × 31¹ × 5¹ × 11²
LCM(21762,21780) = 26332020