What is the Least Common Multiple of 7540 and 7552?

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 7540 and 7552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7540 and 7552, than apply into the LCM equation.

GCF(7540,7552) = 4
LCM(7540,7552) = ( 7540 × 7552) / 4
LCM(7540,7552) = 56942080 / 4
LCM(7540,7552) = 14235520

Least Common Multiple (LCM) of 7540 and 7552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7540 and 7552. First we will calculate the prime factors of 7540 and 7552.

Prime Factorization of 7540

Prime Factorization of 7552

Now multiplying the highest exponent prime factors to calculate the LCM of 7540 and 7552.

LCM(7540,7552) = 2⁷ × 5¹ × 13¹ × 29¹ × 59¹
LCM(7540,7552) = 14235520