What is the Least Common Multiple of 5151 and 5170?

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 5151 and 5170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5151 and 5170, than apply into the LCM equation.

GCF(5151,5170) = 1
LCM(5151,5170) = ( 5151 × 5170) / 1
LCM(5151,5170) = 26630670 / 1
LCM(5151,5170) = 26630670

Least Common Multiple (LCM) of 5151 and 5170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5151 and 5170. First we will calculate the prime factors of 5151 and 5170.

Prime Factorization of 5151

Prime Factorization of 5170

Now multiplying the highest exponent prime factors to calculate the LCM of 5151 and 5170.

LCM(5151,5170) = 3¹ × 17¹ × 101¹ × 2¹ × 5¹ × 11¹ × 47¹
LCM(5151,5170) = 26630670