What is the Least Common Multiple of 46040 and 46055?

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 46040 and 46055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46040 and 46055, than apply into the LCM equation.

GCF(46040,46055) = 5
LCM(46040,46055) = ( 46040 × 46055) / 5
LCM(46040,46055) = 2120372200 / 5
LCM(46040,46055) = 424074440

Least Common Multiple (LCM) of 46040 and 46055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46040 and 46055. First we will calculate the prime factors of 46040 and 46055.

Prime Factorization of 46040

Prime Factorization of 46055

Now multiplying the highest exponent prime factors to calculate the LCM of 46040 and 46055.

LCM(46040,46055) = 2³ × 5¹ × 1151¹ × 61¹ × 151¹
LCM(46040,46055) = 424074440