What is the Least Common Multiple of 46915 and 46932?

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 46915 and 46932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46915 and 46932, than apply into the LCM equation.

GCF(46915,46932) = 1
LCM(46915,46932) = ( 46915 × 46932) / 1
LCM(46915,46932) = 2201814780 / 1
LCM(46915,46932) = 2201814780

Least Common Multiple (LCM) of 46915 and 46932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46915 and 46932. First we will calculate the prime factors of 46915 and 46932.

Prime Factorization of 46915

Prime Factorization of 46932

Now multiplying the highest exponent prime factors to calculate the LCM of 46915 and 46932.

LCM(46915,46932) = 5¹ × 11¹ × 853¹ × 2² × 3¹ × 3911¹
LCM(46915,46932) = 2201814780