What is the Least Common Multiple of 67170 and 67175?

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 67170 and 67175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67170 and 67175, than apply into the LCM equation.

GCF(67170,67175) = 5
LCM(67170,67175) = ( 67170 × 67175) / 5
LCM(67170,67175) = 4512144750 / 5
LCM(67170,67175) = 902428950

Least Common Multiple (LCM) of 67170 and 67175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67170 and 67175. First we will calculate the prime factors of 67170 and 67175.

Prime Factorization of 67170

Prime Factorization of 67175

Now multiplying the highest exponent prime factors to calculate the LCM of 67170 and 67175.

LCM(67170,67175) = 2¹ × 3¹ × 5² × 2239¹ × 2687¹
LCM(67170,67175) = 902428950