What is the Least Common Multiple of 65150 and 65170?

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 65150 and 65170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65150 and 65170, than apply into the LCM equation.

GCF(65150,65170) = 10
LCM(65150,65170) = ( 65150 × 65170) / 10
LCM(65150,65170) = 4245825500 / 10
LCM(65150,65170) = 424582550

Least Common Multiple (LCM) of 65150 and 65170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65150 and 65170. First we will calculate the prime factors of 65150 and 65170.

Prime Factorization of 65150

Prime Factorization of 65170

Now multiplying the highest exponent prime factors to calculate the LCM of 65150 and 65170.

LCM(65150,65170) = 2¹ × 5² × 1303¹ × 7³ × 19¹
LCM(65150,65170) = 424582550