What is the Least Common Multiple of 46092 and 46110?

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 46092 and 46110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46092 and 46110, than apply into the LCM equation.

GCF(46092,46110) = 6
LCM(46092,46110) = ( 46092 × 46110) / 6
LCM(46092,46110) = 2125302120 / 6
LCM(46092,46110) = 354217020

Least Common Multiple (LCM) of 46092 and 46110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46092 and 46110. First we will calculate the prime factors of 46092 and 46110.

Prime Factorization of 46092

Prime Factorization of 46110

Now multiplying the highest exponent prime factors to calculate the LCM of 46092 and 46110.

LCM(46092,46110) = 2² × 3¹ × 23¹ × 167¹ × 5¹ × 29¹ × 53¹
LCM(46092,46110) = 354217020