What is the Least Common Multiple of 35696 and 35714?

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 35696 and 35714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35696 and 35714, than apply into the LCM equation.

GCF(35696,35714) = 2
LCM(35696,35714) = ( 35696 × 35714) / 2
LCM(35696,35714) = 1274846944 / 2
LCM(35696,35714) = 637423472

Least Common Multiple (LCM) of 35696 and 35714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35696 and 35714. First we will calculate the prime factors of 35696 and 35714.

Prime Factorization of 35696

Prime Factorization of 35714

Now multiplying the highest exponent prime factors to calculate the LCM of 35696 and 35714.

LCM(35696,35714) = 2⁴ × 23¹ × 97¹ × 7¹ × 2551¹
LCM(35696,35714) = 637423472