What is the Least Common Multiple of 59216 and 59231?

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 59216 and 59231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59216 and 59231, than apply into the LCM equation.

GCF(59216,59231) = 1
LCM(59216,59231) = ( 59216 × 59231) / 1
LCM(59216,59231) = 3507422896 / 1
LCM(59216,59231) = 3507422896

Least Common Multiple (LCM) of 59216 and 59231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59216 and 59231. First we will calculate the prime factors of 59216 and 59231.

Prime Factorization of 59216

Prime Factorization of 59231

Now multiplying the highest exponent prime factors to calculate the LCM of 59216 and 59231.

LCM(59216,59231) = 2⁴ × 3701¹ × 61¹ × 971¹
LCM(59216,59231) = 3507422896