What is the Least Common Multiple of 21630 and 21637?

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 21630 and 21637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21630 and 21637, than apply into the LCM equation.

GCF(21630,21637) = 7
LCM(21630,21637) = ( 21630 × 21637) / 7
LCM(21630,21637) = 468008310 / 7
LCM(21630,21637) = 66858330

Least Common Multiple (LCM) of 21630 and 21637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21630 and 21637. First we will calculate the prime factors of 21630 and 21637.

Prime Factorization of 21630

Prime Factorization of 21637

Now multiplying the highest exponent prime factors to calculate the LCM of 21630 and 21637.

LCM(21630,21637) = 2¹ × 3¹ × 5¹ × 7¹ × 103¹ × 11¹ × 281¹
LCM(21630,21637) = 66858330