What is the Least Common Multiple of 35742 and 35752?

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 35742 and 35752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35742 and 35752, than apply into the LCM equation.

GCF(35742,35752) = 2
LCM(35742,35752) = ( 35742 × 35752) / 2
LCM(35742,35752) = 1277847984 / 2
LCM(35742,35752) = 638923992

Least Common Multiple (LCM) of 35742 and 35752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35742 and 35752. First we will calculate the prime factors of 35742 and 35752.

Prime Factorization of 35742

Prime Factorization of 35752

Now multiplying the highest exponent prime factors to calculate the LCM of 35742 and 35752.

LCM(35742,35752) = 2³ × 3¹ × 7¹ × 23¹ × 37¹ × 41¹ × 109¹
LCM(35742,35752) = 638923992