What is the Least Common Multiple of 71375 and 71390?

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 71375 and 71390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71375 and 71390, than apply into the LCM equation.

GCF(71375,71390) = 5
LCM(71375,71390) = ( 71375 × 71390) / 5
LCM(71375,71390) = 5095461250 / 5
LCM(71375,71390) = 1019092250

Least Common Multiple (LCM) of 71375 and 71390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71375 and 71390. First we will calculate the prime factors of 71375 and 71390.

Prime Factorization of 71375

Prime Factorization of 71390

Now multiplying the highest exponent prime factors to calculate the LCM of 71375 and 71390.

LCM(71375,71390) = 5³ × 571¹ × 2¹ × 11² × 59¹
LCM(71375,71390) = 1019092250