What is the Least Common Multiple of 55564 and 55583?

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 55564 and 55583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55564 and 55583, than apply into the LCM equation.

GCF(55564,55583) = 1
LCM(55564,55583) = ( 55564 × 55583) / 1
LCM(55564,55583) = 3088413812 / 1
LCM(55564,55583) = 3088413812

Least Common Multiple (LCM) of 55564 and 55583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55564 and 55583. First we will calculate the prime factors of 55564 and 55583.

Prime Factorization of 55564

Prime Factorization of 55583

Now multiplying the highest exponent prime factors to calculate the LCM of 55564 and 55583.

LCM(55564,55583) = 2² × 29¹ × 479¹ × 11¹ × 31¹ × 163¹
LCM(55564,55583) = 3088413812