What is the Least Common Multiple of 55528 and 55536?

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 55528 and 55536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55528 and 55536, than apply into the LCM equation.

GCF(55528,55536) = 8
LCM(55528,55536) = ( 55528 × 55536) / 8
LCM(55528,55536) = 3083803008 / 8
LCM(55528,55536) = 385475376

Least Common Multiple (LCM) of 55528 and 55536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55528 and 55536. First we will calculate the prime factors of 55528 and 55536.

Prime Factorization of 55528

Prime Factorization of 55536

Now multiplying the highest exponent prime factors to calculate the LCM of 55528 and 55536.

LCM(55528,55536) = 2⁴ × 11¹ × 631¹ × 3¹ × 13¹ × 89¹
LCM(55528,55536) = 385475376