What is the Least Common Multiple of 46151 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 46151 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 46151 and 46170, than apply into the LCM equation.

GCF(46151,46170) = 19
LCM(46151,46170) = ( 46151 × 46170) / 19
LCM(46151,46170) = 2130791670 / 19
LCM(46151,46170) = 112146930

Least Common Multiple (LCM) of 46151 and 46170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46151 and 46170. First we will calculate the prime factors of 46151 and 46170.

Prime Factorization of 46151

Prime Factorization of 46170

Now multiplying the highest exponent prime factors to calculate the LCM of 46151 and 46170.

LCM(46151,46170) = 7¹ × 19¹ × 347¹ × 2¹ × 3⁵ × 5¹
LCM(46151,46170) = 112146930