What is the Least Common Multiple of 46112 and 46123?

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 46112 and 46123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46112 and 46123, than apply into the LCM equation.

GCF(46112,46123) = 11
LCM(46112,46123) = ( 46112 × 46123) / 11
LCM(46112,46123) = 2126823776 / 11
LCM(46112,46123) = 193347616

Least Common Multiple (LCM) of 46112 and 46123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46112 and 46123. First we will calculate the prime factors of 46112 and 46123.

Prime Factorization of 46112

Prime Factorization of 46123

Now multiplying the highest exponent prime factors to calculate the LCM of 46112 and 46123.

LCM(46112,46123) = 2⁵ × 11¹ × 131¹ × 7¹ × 599¹
LCM(46112,46123) = 193347616