What is the Least Common Multiple of 55536 and 55545?

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 55536 and 55545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55536 and 55545, than apply into the LCM equation.

GCF(55536,55545) = 3
LCM(55536,55545) = ( 55536 × 55545) / 3
LCM(55536,55545) = 3084747120 / 3
LCM(55536,55545) = 1028249040

Least Common Multiple (LCM) of 55536 and 55545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55536 and 55545. First we will calculate the prime factors of 55536 and 55545.

Prime Factorization of 55536

Prime Factorization of 55545

Now multiplying the highest exponent prime factors to calculate the LCM of 55536 and 55545.

LCM(55536,55545) = 2⁴ × 3¹ × 13¹ × 89¹ × 5¹ × 7¹ × 23²
LCM(55536,55545) = 1028249040