What is the Least Common Multiple of 46260 and 46277?

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 46260 and 46277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46260 and 46277, than apply into the LCM equation.

GCF(46260,46277) = 1
LCM(46260,46277) = ( 46260 × 46277) / 1
LCM(46260,46277) = 2140774020 / 1
LCM(46260,46277) = 2140774020

Least Common Multiple (LCM) of 46260 and 46277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46260 and 46277. First we will calculate the prime factors of 46260 and 46277.

Prime Factorization of 46260

Prime Factorization of 46277

Now multiplying the highest exponent prime factors to calculate the LCM of 46260 and 46277.

LCM(46260,46277) = 2² × 3² × 5¹ × 257¹ × 7¹ × 11¹ × 601¹
LCM(46260,46277) = 2140774020