What is the Least Common Multiple of 46106 and 46113?

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 46106 and 46113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46106 and 46113, than apply into the LCM equation.

GCF(46106,46113) = 1
LCM(46106,46113) = ( 46106 × 46113) / 1
LCM(46106,46113) = 2126085978 / 1
LCM(46106,46113) = 2126085978

Least Common Multiple (LCM) of 46106 and 46113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46106 and 46113. First we will calculate the prime factors of 46106 and 46113.

Prime Factorization of 46106

Prime Factorization of 46113

Now multiplying the highest exponent prime factors to calculate the LCM of 46106 and 46113.

LCM(46106,46113) = 2¹ × 23053¹ × 3¹ × 19¹ × 809¹
LCM(46106,46113) = 2126085978