What is the Least Common Multiple of 58232 and 58246?

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 58232 and 58246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58232 and 58246, than apply into the LCM equation.

GCF(58232,58246) = 2
LCM(58232,58246) = ( 58232 × 58246) / 2
LCM(58232,58246) = 3391781072 / 2
LCM(58232,58246) = 1695890536

Least Common Multiple (LCM) of 58232 and 58246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58232 and 58246. First we will calculate the prime factors of 58232 and 58246.

Prime Factorization of 58232

Prime Factorization of 58246

Now multiplying the highest exponent prime factors to calculate the LCM of 58232 and 58246.

LCM(58232,58246) = 2³ × 29¹ × 251¹ × 29123¹
LCM(58232,58246) = 1695890536