What is the Least Common Multiple of 56550 and 56554?

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 56550 and 56554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56550 and 56554, than apply into the LCM equation.

GCF(56550,56554) = 2
LCM(56550,56554) = ( 56550 × 56554) / 2
LCM(56550,56554) = 3198128700 / 2
LCM(56550,56554) = 1599064350

Least Common Multiple (LCM) of 56550 and 56554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56550 and 56554. First we will calculate the prime factors of 56550 and 56554.

Prime Factorization of 56550

Prime Factorization of 56554

Now multiplying the highest exponent prime factors to calculate the LCM of 56550 and 56554.

LCM(56550,56554) = 2¹ × 3¹ × 5² × 13¹ × 29¹ × 28277¹
LCM(56550,56554) = 1599064350