What is the Least Common Multiple of 46200 and 46207?

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 46200 and 46207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46200 and 46207, than apply into the LCM equation.

GCF(46200,46207) = 7
LCM(46200,46207) = ( 46200 × 46207) / 7
LCM(46200,46207) = 2134763400 / 7
LCM(46200,46207) = 304966200

Least Common Multiple (LCM) of 46200 and 46207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46200 and 46207. First we will calculate the prime factors of 46200 and 46207.

Prime Factorization of 46200

Prime Factorization of 46207

Now multiplying the highest exponent prime factors to calculate the LCM of 46200 and 46207.

LCM(46200,46207) = 2³ × 3¹ × 5² × 7² × 11¹ × 23¹ × 41¹
LCM(46200,46207) = 304966200