What is the Least Common Multiple of 46290 and 46300?

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 46290 and 46300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46290 and 46300, than apply into the LCM equation.

GCF(46290,46300) = 10
LCM(46290,46300) = ( 46290 × 46300) / 10
LCM(46290,46300) = 2143227000 / 10
LCM(46290,46300) = 214322700

Least Common Multiple (LCM) of 46290 and 46300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46290 and 46300. First we will calculate the prime factors of 46290 and 46300.

Prime Factorization of 46290

Prime Factorization of 46300

Now multiplying the highest exponent prime factors to calculate the LCM of 46290 and 46300.

LCM(46290,46300) = 2² × 3¹ × 5² × 1543¹ × 463¹
LCM(46290,46300) = 214322700