What is the Least Common Multiple of 46174 and 46182?

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 46174 and 46182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46174 and 46182, than apply into the LCM equation.

GCF(46174,46182) = 2
LCM(46174,46182) = ( 46174 × 46182) / 2
LCM(46174,46182) = 2132407668 / 2
LCM(46174,46182) = 1066203834

Least Common Multiple (LCM) of 46174 and 46182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46174 and 46182. First we will calculate the prime factors of 46174 and 46182.

Prime Factorization of 46174

Prime Factorization of 46182

Now multiplying the highest exponent prime factors to calculate the LCM of 46174 and 46182.

LCM(46174,46182) = 2¹ × 23087¹ × 3¹ × 43¹ × 179¹
LCM(46174,46182) = 1066203834