What is the Least Common Multiple of 65170 and 65182?

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 65170 and 65182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65170 and 65182, than apply into the LCM equation.

GCF(65170,65182) = 2
LCM(65170,65182) = ( 65170 × 65182) / 2
LCM(65170,65182) = 4247910940 / 2
LCM(65170,65182) = 2123955470

Least Common Multiple (LCM) of 65170 and 65182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65170 and 65182. First we will calculate the prime factors of 65170 and 65182.

Prime Factorization of 65170

Prime Factorization of 65182

Now multiplying the highest exponent prime factors to calculate the LCM of 65170 and 65182.

LCM(65170,65182) = 2¹ × 5¹ × 7³ × 19¹ × 13¹ × 23¹ × 109¹
LCM(65170,65182) = 2123955470