What is the Least Common Multiple of 21548 and 21567?

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 21548 and 21567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21548 and 21567, than apply into the LCM equation.

GCF(21548,21567) = 1
LCM(21548,21567) = ( 21548 × 21567) / 1
LCM(21548,21567) = 464725716 / 1
LCM(21548,21567) = 464725716

Least Common Multiple (LCM) of 21548 and 21567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21548 and 21567. First we will calculate the prime factors of 21548 and 21567.

Prime Factorization of 21548

Prime Factorization of 21567

Now multiplying the highest exponent prime factors to calculate the LCM of 21548 and 21567.

LCM(21548,21567) = 2² × 5387¹ × 3¹ × 7¹ × 13¹ × 79¹
LCM(21548,21567) = 464725716