What is the Least Common Multiple of 71364 and 71383?

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 71364 and 71383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71364 and 71383, than apply into the LCM equation.

GCF(71364,71383) = 19
LCM(71364,71383) = ( 71364 × 71383) / 19
LCM(71364,71383) = 5094176412 / 19
LCM(71364,71383) = 268114548

Least Common Multiple (LCM) of 71364 and 71383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71364 and 71383. First we will calculate the prime factors of 71364 and 71383.

Prime Factorization of 71364

Prime Factorization of 71383

Now multiplying the highest exponent prime factors to calculate the LCM of 71364 and 71383.

LCM(71364,71383) = 2² × 3¹ × 19¹ × 313¹ × 13¹ × 17²
LCM(71364,71383) = 268114548