What is the Least Common Multiple of 71346 and 71355?

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 71346 and 71355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71346 and 71355, than apply into the LCM equation.

GCF(71346,71355) = 3
LCM(71346,71355) = ( 71346 × 71355) / 3
LCM(71346,71355) = 5090893830 / 3
LCM(71346,71355) = 1696964610

Least Common Multiple (LCM) of 71346 and 71355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71346 and 71355. First we will calculate the prime factors of 71346 and 71355.

Prime Factorization of 71346

Prime Factorization of 71355

Now multiplying the highest exponent prime factors to calculate the LCM of 71346 and 71355.

LCM(71346,71355) = 2¹ × 3¹ × 11¹ × 23¹ × 47¹ × 5¹ × 67¹ × 71¹
LCM(71346,71355) = 1696964610