What is the Least Common Multiple of 74170 and 74175?

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 74170 and 74175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74170 and 74175, than apply into the LCM equation.

GCF(74170,74175) = 5
LCM(74170,74175) = ( 74170 × 74175) / 5
LCM(74170,74175) = 5501559750 / 5
LCM(74170,74175) = 1100311950

Least Common Multiple (LCM) of 74170 and 74175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74170 and 74175. First we will calculate the prime factors of 74170 and 74175.

Prime Factorization of 74170

Prime Factorization of 74175

Now multiplying the highest exponent prime factors to calculate the LCM of 74170 and 74175.

LCM(74170,74175) = 2¹ × 5² × 7417¹ × 3¹ × 23¹ × 43¹
LCM(74170,74175) = 1100311950