What is the Least Common Multiple of 55240 and 55250?

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 55240 and 55250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55240 and 55250, than apply into the LCM equation.

GCF(55240,55250) = 10
LCM(55240,55250) = ( 55240 × 55250) / 10
LCM(55240,55250) = 3052010000 / 10
LCM(55240,55250) = 305201000

Least Common Multiple (LCM) of 55240 and 55250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55240 and 55250. First we will calculate the prime factors of 55240 and 55250.

Prime Factorization of 55240

Prime Factorization of 55250

Now multiplying the highest exponent prime factors to calculate the LCM of 55240 and 55250.

LCM(55240,55250) = 2³ × 5³ × 1381¹ × 13¹ × 17¹
LCM(55240,55250) = 305201000