What is the Least Common Multiple of 55240 and 55259?

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 55259 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 55259, than apply into the LCM equation.

GCF(55240,55259) = 1
LCM(55240,55259) = ( 55240 × 55259) / 1
LCM(55240,55259) = 3052507160 / 1
LCM(55240,55259) = 3052507160

Least Common Multiple (LCM) of 55240 and 55259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55240 and 55259. First we will calculate the prime factors of 55240 and 55259.

Prime Factorization of 55240

Prime Factorization of 55259

Now multiplying the highest exponent prime factors to calculate the LCM of 55240 and 55259.

LCM(55240,55259) = 2³ × 5¹ × 1381¹ × 55259¹
LCM(55240,55259) = 3052507160