What is the Least Common Multiple of 69150 and 69170?

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 69150 and 69170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69150 and 69170, than apply into the LCM equation.

GCF(69150,69170) = 10
LCM(69150,69170) = ( 69150 × 69170) / 10
LCM(69150,69170) = 4783105500 / 10
LCM(69150,69170) = 478310550

Least Common Multiple (LCM) of 69150 and 69170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69150 and 69170. First we will calculate the prime factors of 69150 and 69170.

Prime Factorization of 69150

Prime Factorization of 69170

Now multiplying the highest exponent prime factors to calculate the LCM of 69150 and 69170.

LCM(69150,69170) = 2¹ × 3¹ × 5² × 461¹ × 6917¹
LCM(69150,69170) = 478310550