What is the Least Common Multiple of 21105 and 21111?

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 21105 and 21111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21105 and 21111, than apply into the LCM equation.

GCF(21105,21111) = 3
LCM(21105,21111) = ( 21105 × 21111) / 3
LCM(21105,21111) = 445547655 / 3
LCM(21105,21111) = 148515885

Least Common Multiple (LCM) of 21105 and 21111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21105 and 21111. First we will calculate the prime factors of 21105 and 21111.

Prime Factorization of 21105

Prime Factorization of 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 21105 and 21111.

LCM(21105,21111) = 3² × 5¹ × 7¹ × 67¹ × 31¹ × 227¹
LCM(21105,21111) = 148515885