What is the Least Common Multiple of 46120 and 46138?

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 46120 and 46138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46120 and 46138, than apply into the LCM equation.

GCF(46120,46138) = 2
LCM(46120,46138) = ( 46120 × 46138) / 2
LCM(46120,46138) = 2127884560 / 2
LCM(46120,46138) = 1063942280

Least Common Multiple (LCM) of 46120 and 46138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46120 and 46138. First we will calculate the prime factors of 46120 and 46138.

Prime Factorization of 46120

Prime Factorization of 46138

Now multiplying the highest exponent prime factors to calculate the LCM of 46120 and 46138.

LCM(46120,46138) = 2³ × 5¹ × 1153¹ × 17¹ × 23¹ × 59¹
LCM(46120,46138) = 1063942280