What is the Least Common Multiple of 21494 and 21507?

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 21494 and 21507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21494 and 21507, than apply into the LCM equation.

GCF(21494,21507) = 1
LCM(21494,21507) = ( 21494 × 21507) / 1
LCM(21494,21507) = 462271458 / 1
LCM(21494,21507) = 462271458

Least Common Multiple (LCM) of 21494 and 21507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21494 and 21507. First we will calculate the prime factors of 21494 and 21507.

Prime Factorization of 21494

Prime Factorization of 21507

Now multiplying the highest exponent prime factors to calculate the LCM of 21494 and 21507.

LCM(21494,21507) = 2¹ × 11¹ × 977¹ × 3¹ × 67¹ × 107¹
LCM(21494,21507) = 462271458