What is the Least Common Multiple of 46056 and 46075?

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 46056 and 46075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46056 and 46075, than apply into the LCM equation.

GCF(46056,46075) = 19
LCM(46056,46075) = ( 46056 × 46075) / 19
LCM(46056,46075) = 2122030200 / 19
LCM(46056,46075) = 111685800

Least Common Multiple (LCM) of 46056 and 46075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46056 and 46075. First we will calculate the prime factors of 46056 and 46075.

Prime Factorization of 46056

Prime Factorization of 46075

Now multiplying the highest exponent prime factors to calculate the LCM of 46056 and 46075.

LCM(46056,46075) = 2³ × 3¹ × 19¹ × 101¹ × 5² × 97¹
LCM(46056,46075) = 111685800