What is the Least Common Multiple of 35703 and 35707?

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 35703 and 35707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35703 and 35707, than apply into the LCM equation.

GCF(35703,35707) = 1
LCM(35703,35707) = ( 35703 × 35707) / 1
LCM(35703,35707) = 1274847021 / 1
LCM(35703,35707) = 1274847021

Least Common Multiple (LCM) of 35703 and 35707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35703 and 35707. First we will calculate the prime factors of 35703 and 35707.

Prime Factorization of 35703

Prime Factorization of 35707

Now multiplying the highest exponent prime factors to calculate the LCM of 35703 and 35707.

LCM(35703,35707) = 3² × 3967¹ × 7¹ × 5101¹
LCM(35703,35707) = 1274847021