What is the Least Common Multiple of 12563 and 12567?

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 12563 and 12567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12563 and 12567, than apply into the LCM equation.

GCF(12563,12567) = 1
LCM(12563,12567) = ( 12563 × 12567) / 1
LCM(12563,12567) = 157879221 / 1
LCM(12563,12567) = 157879221

Least Common Multiple (LCM) of 12563 and 12567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12563 and 12567. First we will calculate the prime factors of 12563 and 12567.

Prime Factorization of 12563

Prime Factorization of 12567

Now multiplying the highest exponent prime factors to calculate the LCM of 12563 and 12567.

LCM(12563,12567) = 17¹ × 739¹ × 3¹ × 59¹ × 71¹
LCM(12563,12567) = 157879221