What is the Least Common Multiple of 46008 and 46026?

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 46008 and 46026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46008 and 46026, than apply into the LCM equation.

GCF(46008,46026) = 18
LCM(46008,46026) = ( 46008 × 46026) / 18
LCM(46008,46026) = 2117564208 / 18
LCM(46008,46026) = 117642456

Least Common Multiple (LCM) of 46008 and 46026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46008 and 46026. First we will calculate the prime factors of 46008 and 46026.

Prime Factorization of 46008

Prime Factorization of 46026

Now multiplying the highest exponent prime factors to calculate the LCM of 46008 and 46026.

LCM(46008,46026) = 2³ × 3⁴ × 71¹ × 2557¹
LCM(46008,46026) = 117642456