What is the Least Common Multiple of 55104 and 55119?

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 55104 and 55119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55104 and 55119, than apply into the LCM equation.

GCF(55104,55119) = 3
LCM(55104,55119) = ( 55104 × 55119) / 3
LCM(55104,55119) = 3037277376 / 3
LCM(55104,55119) = 1012425792

Least Common Multiple (LCM) of 55104 and 55119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55104 and 55119. First we will calculate the prime factors of 55104 and 55119.

Prime Factorization of 55104

Prime Factorization of 55119

Now multiplying the highest exponent prime factors to calculate the LCM of 55104 and 55119.

LCM(55104,55119) = 2⁶ × 3¹ × 7¹ × 41¹ × 19¹ × 967¹
LCM(55104,55119) = 1012425792