What is the Least Common Multiple of 7552 and 7567?

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 7552 and 7567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7552 and 7567, than apply into the LCM equation.

GCF(7552,7567) = 1
LCM(7552,7567) = ( 7552 × 7567) / 1
LCM(7552,7567) = 57145984 / 1
LCM(7552,7567) = 57145984

Least Common Multiple (LCM) of 7552 and 7567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7552 and 7567. First we will calculate the prime factors of 7552 and 7567.

Prime Factorization of 7552

Prime Factorization of 7567

Now multiplying the highest exponent prime factors to calculate the LCM of 7552 and 7567.

LCM(7552,7567) = 2⁷ × 59¹ × 7¹ × 23¹ × 47¹
LCM(7552,7567) = 57145984