GCF and LCM Calculator Logo

What is the Least Common Multiple of 46406 and 46425?

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 (LCM) of 46406 and 46425 is 2154398550.

LCM(46406,46425) = 2154398550

LCM Calculator and
and

Least Common Multiple of 46406 and 46425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46406 and 46425, than apply into the LCM equation.

GCF(46406,46425) = 1
LCM(46406,46425) = ( 46406 × 46425) / 1
LCM(46406,46425) = 2154398550 / 1
LCM(46406,46425) = 2154398550

Least Common Multiple (LCM) of 46406 and 46425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46406 and 46425. First we will calculate the prime factors of 46406 and 46425.

Prime Factorization of 46406

Prime factors of 46406 are 2, 23203. Prime factorization of 46406 in exponential form is:

46406 = 21 × 232031

Prime Factorization of 46425

Prime factors of 46425 are 3, 5, 619. Prime factorization of 46425 in exponential form is:

46425 = 31 × 52 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 46406 and 46425.

LCM(46406,46425) = 21 × 232031 × 31 × 52 × 6191
LCM(46406,46425) = 2154398550