What is the Least Common Multiple of 35688 and 35703?

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 35688 and 35703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35688 and 35703, than apply into the LCM equation.

GCF(35688,35703) = 3
LCM(35688,35703) = ( 35688 × 35703) / 3
LCM(35688,35703) = 1274168664 / 3
LCM(35688,35703) = 424722888

Least Common Multiple (LCM) of 35688 and 35703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35688 and 35703. First we will calculate the prime factors of 35688 and 35703.

Prime Factorization of 35688

Prime Factorization of 35703

Now multiplying the highest exponent prime factors to calculate the LCM of 35688 and 35703.

LCM(35688,35703) = 2³ × 3² × 1487¹ × 3967¹
LCM(35688,35703) = 424722888