What is the Least Common Multiple of 71715 and 71733?

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 71715 and 71733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71715 and 71733, than apply into the LCM equation.

GCF(71715,71733) = 3
LCM(71715,71733) = ( 71715 × 71733) / 3
LCM(71715,71733) = 5144332095 / 3
LCM(71715,71733) = 1714777365

Least Common Multiple (LCM) of 71715 and 71733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71715 and 71733. First we will calculate the prime factors of 71715 and 71733.

Prime Factorization of 71715

Prime Factorization of 71733

Now multiplying the highest exponent prime factors to calculate the LCM of 71715 and 71733.

LCM(71715,71733) = 3¹ × 5¹ × 7¹ × 683¹ × 23911¹
LCM(71715,71733) = 1714777365