What is the Least Common Multiple of 64174 and 64186?

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 64186 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 64186, than apply into the LCM equation.

GCF(64174,64186) = 2
LCM(64174,64186) = ( 64174 × 64186) / 2
LCM(64174,64186) = 4119072364 / 2
LCM(64174,64186) = 2059536182

Least Common Multiple (LCM) of 64174 and 64186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64174 and 64186. First we will calculate the prime factors of 64174 and 64186.

Prime Factorization of 64174

Prime Factorization of 64186

Now multiplying the highest exponent prime factors to calculate the LCM of 64174 and 64186.

LCM(64174,64186) = 2¹ × 11¹ × 2917¹ × 67¹ × 479¹
LCM(64174,64186) = 2059536182