What is the Least Common Multiple of 46158 and 46170?

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 46158 and 46170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46158 and 46170, than apply into the LCM equation.

GCF(46158,46170) = 6
LCM(46158,46170) = ( 46158 × 46170) / 6
LCM(46158,46170) = 2131114860 / 6
LCM(46158,46170) = 355185810

Least Common Multiple (LCM) of 46158 and 46170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46158 and 46170. First we will calculate the prime factors of 46158 and 46170.

Prime Factorization of 46158

Prime Factorization of 46170

Now multiplying the highest exponent prime factors to calculate the LCM of 46158 and 46170.

LCM(46158,46170) = 2¹ × 3⁵ × 7² × 157¹ × 5¹ × 19¹
LCM(46158,46170) = 355185810