What is the Least Common Multiple of 46088 and 46102?

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 46088 and 46102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46088 and 46102, than apply into the LCM equation.

GCF(46088,46102) = 14
LCM(46088,46102) = ( 46088 × 46102) / 14
LCM(46088,46102) = 2124748976 / 14
LCM(46088,46102) = 151767784

Least Common Multiple (LCM) of 46088 and 46102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46088 and 46102. First we will calculate the prime factors of 46088 and 46102.

Prime Factorization of 46088

Prime Factorization of 46102

Now multiplying the highest exponent prime factors to calculate the LCM of 46088 and 46102.

LCM(46088,46102) = 2³ × 7¹ × 823¹ × 37¹ × 89¹
LCM(46088,46102) = 151767784