What is the Least Common Multiple of 59344 and 59358?

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 59344 and 59358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59344 and 59358, than apply into the LCM equation.

GCF(59344,59358) = 2
LCM(59344,59358) = ( 59344 × 59358) / 2
LCM(59344,59358) = 3522541152 / 2
LCM(59344,59358) = 1761270576

Least Common Multiple (LCM) of 59344 and 59358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59344 and 59358. First we will calculate the prime factors of 59344 and 59358.

Prime Factorization of 59344

Prime Factorization of 59358

Now multiplying the highest exponent prime factors to calculate the LCM of 59344 and 59358.

LCM(59344,59358) = 2⁴ × 3709¹ × 3¹ × 13¹ × 761¹
LCM(59344,59358) = 1761270576