What is the Least Common Multiple of 46095 and 46115?

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 46095 and 46115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46095 and 46115, than apply into the LCM equation.

GCF(46095,46115) = 5
LCM(46095,46115) = ( 46095 × 46115) / 5
LCM(46095,46115) = 2125670925 / 5
LCM(46095,46115) = 425134185

Least Common Multiple (LCM) of 46095 and 46115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46095 and 46115. First we will calculate the prime factors of 46095 and 46115.

Prime Factorization of 46095

Prime Factorization of 46115

Now multiplying the highest exponent prime factors to calculate the LCM of 46095 and 46115.

LCM(46095,46115) = 3¹ × 5¹ × 7¹ × 439¹ × 23¹ × 401¹
LCM(46095,46115) = 425134185