What is the Least Common Multiple of 53150 and 53170?

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 53150 and 53170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53150 and 53170, than apply into the LCM equation.

GCF(53150,53170) = 10
LCM(53150,53170) = ( 53150 × 53170) / 10
LCM(53150,53170) = 2825985500 / 10
LCM(53150,53170) = 282598550

Least Common Multiple (LCM) of 53150 and 53170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53150 and 53170. First we will calculate the prime factors of 53150 and 53170.

Prime Factorization of 53150

Prime Factorization of 53170

Now multiplying the highest exponent prime factors to calculate the LCM of 53150 and 53170.

LCM(53150,53170) = 2¹ × 5² × 1063¹ × 13¹ × 409¹
LCM(53150,53170) = 282598550