What is the Least Common Multiple of 35314 and 35331?

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 35314 and 35331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35314 and 35331, than apply into the LCM equation.

GCF(35314,35331) = 1
LCM(35314,35331) = ( 35314 × 35331) / 1
LCM(35314,35331) = 1247678934 / 1
LCM(35314,35331) = 1247678934

Least Common Multiple (LCM) of 35314 and 35331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35314 and 35331. First we will calculate the prime factors of 35314 and 35331.

Prime Factorization of 35314

Prime Factorization of 35331

Now multiplying the highest exponent prime factors to calculate the LCM of 35314 and 35331.

LCM(35314,35331) = 2¹ × 17657¹ × 3¹ × 11777¹
LCM(35314,35331) = 1247678934