What is the Least Common Multiple of 46170 and 46176?

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 46170 and 46176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46170 and 46176, than apply into the LCM equation.

GCF(46170,46176) = 6
LCM(46170,46176) = ( 46170 × 46176) / 6
LCM(46170,46176) = 2131945920 / 6
LCM(46170,46176) = 355324320

Least Common Multiple (LCM) of 46170 and 46176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46170 and 46176. First we will calculate the prime factors of 46170 and 46176.

Prime Factorization of 46170

Prime Factorization of 46176

Now multiplying the highest exponent prime factors to calculate the LCM of 46170 and 46176.

LCM(46170,46176) = 2⁵ × 3⁵ × 5¹ × 19¹ × 13¹ × 37¹
LCM(46170,46176) = 355324320