What is the Least Common Multiple of 64174 and 64182?

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 64174 and 64182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64174 and 64182, than apply into the LCM equation.

GCF(64174,64182) = 2
LCM(64174,64182) = ( 64174 × 64182) / 2
LCM(64174,64182) = 4118815668 / 2
LCM(64174,64182) = 2059407834

Least Common Multiple (LCM) of 64174 and 64182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64174 and 64182. First we will calculate the prime factors of 64174 and 64182.

Prime Factorization of 64174

Prime Factorization of 64182

Now multiplying the highest exponent prime factors to calculate the LCM of 64174 and 64182.

LCM(64174,64182) = 2¹ × 11¹ × 2917¹ × 3¹ × 19¹ × 563¹
LCM(64174,64182) = 2059407834