What is the Least Common Multiple of 55508 and 55528?

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 55508 and 55528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55508 and 55528, than apply into the LCM equation.

GCF(55508,55528) = 4
LCM(55508,55528) = ( 55508 × 55528) / 4
LCM(55508,55528) = 3082248224 / 4
LCM(55508,55528) = 770562056

Least Common Multiple (LCM) of 55508 and 55528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55508 and 55528. First we will calculate the prime factors of 55508 and 55528.

Prime Factorization of 55508

Prime Factorization of 55528

Now multiplying the highest exponent prime factors to calculate the LCM of 55508 and 55528.

LCM(55508,55528) = 2³ × 13877¹ × 11¹ × 631¹
LCM(55508,55528) = 770562056