What is the Least Common Multiple of 66170 and 66188?

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 66170 and 66188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66170 and 66188, than apply into the LCM equation.

GCF(66170,66188) = 2
LCM(66170,66188) = ( 66170 × 66188) / 2
LCM(66170,66188) = 4379659960 / 2
LCM(66170,66188) = 2189829980

Least Common Multiple (LCM) of 66170 and 66188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66170 and 66188. First we will calculate the prime factors of 66170 and 66188.

Prime Factorization of 66170

Prime Factorization of 66188

Now multiplying the highest exponent prime factors to calculate the LCM of 66170 and 66188.

LCM(66170,66188) = 2² × 5¹ × 13¹ × 509¹ × 16547¹
LCM(66170,66188) = 2189829980