What is the Least Common Multiple of 35314 and 35332?

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 35332 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 35332, than apply into the LCM equation.

GCF(35314,35332) = 2
LCM(35314,35332) = ( 35314 × 35332) / 2
LCM(35314,35332) = 1247714248 / 2
LCM(35314,35332) = 623857124

Least Common Multiple (LCM) of 35314 and 35332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35314 and 35332. First we will calculate the prime factors of 35314 and 35332.

Prime Factorization of 35314

Prime Factorization of 35332

Now multiplying the highest exponent prime factors to calculate the LCM of 35314 and 35332.

LCM(35314,35332) = 2² × 17657¹ × 11² × 73¹
LCM(35314,35332) = 623857124