What is the Least Common Multiple of 35684 and 35702?

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 35684 and 35702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35684 and 35702, than apply into the LCM equation.

GCF(35684,35702) = 2
LCM(35684,35702) = ( 35684 × 35702) / 2
LCM(35684,35702) = 1273990168 / 2
LCM(35684,35702) = 636995084

Least Common Multiple (LCM) of 35684 and 35702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35684 and 35702. First we will calculate the prime factors of 35684 and 35702.

Prime Factorization of 35684

Prime Factorization of 35702

Now multiplying the highest exponent prime factors to calculate the LCM of 35684 and 35702.

LCM(35684,35702) = 2² × 11¹ × 811¹ × 17851¹
LCM(35684,35702) = 636995084