What is the Least Common Multiple of 21501 and 21506?

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 21501 and 21506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21501 and 21506, than apply into the LCM equation.

GCF(21501,21506) = 1
LCM(21501,21506) = ( 21501 × 21506) / 1
LCM(21501,21506) = 462400506 / 1
LCM(21501,21506) = 462400506

Least Common Multiple (LCM) of 21501 and 21506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21501 and 21506. First we will calculate the prime factors of 21501 and 21506.

Prime Factorization of 21501

Prime Factorization of 21506

Now multiplying the highest exponent prime factors to calculate the LCM of 21501 and 21506.

LCM(21501,21506) = 3² × 2389¹ × 2¹ × 10753¹
LCM(21501,21506) = 462400506