What is the Least Common Multiple of 55408 and 55417?

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 55408 and 55417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55408 and 55417, than apply into the LCM equation.

GCF(55408,55417) = 1
LCM(55408,55417) = ( 55408 × 55417) / 1
LCM(55408,55417) = 3070545136 / 1
LCM(55408,55417) = 3070545136

Least Common Multiple (LCM) of 55408 and 55417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55408 and 55417. First we will calculate the prime factors of 55408 and 55417.

Prime Factorization of 55408

Prime Factorization of 55417

Now multiplying the highest exponent prime factors to calculate the LCM of 55408 and 55417.

LCM(55408,55417) = 2⁴ × 3463¹ × 151¹ × 367¹
LCM(55408,55417) = 3070545136