What is the Least Common Multiple of 35310 and 35314?

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 35310 and 35314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35310 and 35314, than apply into the LCM equation.

GCF(35310,35314) = 2
LCM(35310,35314) = ( 35310 × 35314) / 2
LCM(35310,35314) = 1246937340 / 2
LCM(35310,35314) = 623468670

Least Common Multiple (LCM) of 35310 and 35314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35310 and 35314. First we will calculate the prime factors of 35310 and 35314.

Prime Factorization of 35310

Prime Factorization of 35314

Now multiplying the highest exponent prime factors to calculate the LCM of 35310 and 35314.

LCM(35310,35314) = 2¹ × 3¹ × 5¹ × 11¹ × 107¹ × 17657¹
LCM(35310,35314) = 623468670