What is the Least Common Multiple of 52551 and 52567?

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 52551 and 52567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52551 and 52567, than apply into the LCM equation.

GCF(52551,52567) = 1
LCM(52551,52567) = ( 52551 × 52567) / 1
LCM(52551,52567) = 2762448417 / 1
LCM(52551,52567) = 2762448417

Least Common Multiple (LCM) of 52551 and 52567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52551 and 52567. First we will calculate the prime factors of 52551 and 52567.

Prime Factorization of 52551

Prime Factorization of 52567

Now multiplying the highest exponent prime factors to calculate the LCM of 52551 and 52567.

LCM(52551,52567) = 3² × 5839¹ × 52567¹
LCM(52551,52567) = 2762448417