What is the Least Common Multiple of 46118 and 46135?

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 46118 and 46135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46118 and 46135, than apply into the LCM equation.

GCF(46118,46135) = 1
LCM(46118,46135) = ( 46118 × 46135) / 1
LCM(46118,46135) = 2127653930 / 1
LCM(46118,46135) = 2127653930

Least Common Multiple (LCM) of 46118 and 46135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46118 and 46135. First we will calculate the prime factors of 46118 and 46135.

Prime Factorization of 46118

Prime Factorization of 46135

Now multiplying the highest exponent prime factors to calculate the LCM of 46118 and 46135.

LCM(46118,46135) = 2¹ × 23059¹ × 5¹ × 9227¹
LCM(46118,46135) = 2127653930