What is the Least Common Multiple of 55544 and 55564?

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 55544 and 55564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55544 and 55564, than apply into the LCM equation.

GCF(55544,55564) = 4
LCM(55544,55564) = ( 55544 × 55564) / 4
LCM(55544,55564) = 3086246816 / 4
LCM(55544,55564) = 771561704

Least Common Multiple (LCM) of 55544 and 55564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55544 and 55564. First we will calculate the prime factors of 55544 and 55564.

Prime Factorization of 55544

Prime Factorization of 55564

Now multiplying the highest exponent prime factors to calculate the LCM of 55544 and 55564.

LCM(55544,55564) = 2³ × 53¹ × 131¹ × 29¹ × 479¹
LCM(55544,55564) = 771561704