What is the Least Common Multiple of 46110 and 46114?

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 46110 and 46114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46110 and 46114, than apply into the LCM equation.

GCF(46110,46114) = 2
LCM(46110,46114) = ( 46110 × 46114) / 2
LCM(46110,46114) = 2126316540 / 2
LCM(46110,46114) = 1063158270

Least Common Multiple (LCM) of 46110 and 46114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46110 and 46114. First we will calculate the prime factors of 46110 and 46114.

Prime Factorization of 46110

Prime Factorization of 46114

Now multiplying the highest exponent prime factors to calculate the LCM of 46110 and 46114.

LCM(46110,46114) = 2¹ × 3¹ × 5¹ × 29¹ × 53¹ × 23057¹
LCM(46110,46114) = 1063158270