What is the Least Common Multiple of 46152 and 46172?

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 46152 and 46172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46152 and 46172, than apply into the LCM equation.

GCF(46152,46172) = 4
LCM(46152,46172) = ( 46152 × 46172) / 4
LCM(46152,46172) = 2130930144 / 4
LCM(46152,46172) = 532732536

Least Common Multiple (LCM) of 46152 and 46172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46152 and 46172. First we will calculate the prime factors of 46152 and 46172.

Prime Factorization of 46152

Prime Factorization of 46172

Now multiplying the highest exponent prime factors to calculate the LCM of 46152 and 46172.

LCM(46152,46172) = 2³ × 3² × 641¹ × 7¹ × 17¹ × 97¹
LCM(46152,46172) = 532732536