What is the Least Common Multiple of 55100 and 55104?

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 55100 and 55104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55100 and 55104, than apply into the LCM equation.

GCF(55100,55104) = 4
LCM(55100,55104) = ( 55100 × 55104) / 4
LCM(55100,55104) = 3036230400 / 4
LCM(55100,55104) = 759057600

Least Common Multiple (LCM) of 55100 and 55104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55100 and 55104. First we will calculate the prime factors of 55100 and 55104.

Prime Factorization of 55100

Prime Factorization of 55104

Now multiplying the highest exponent prime factors to calculate the LCM of 55100 and 55104.

LCM(55100,55104) = 2⁶ × 5² × 19¹ × 29¹ × 3¹ × 7¹ × 41¹
LCM(55100,55104) = 759057600