What is the Least Common Multiple of 35752 and 35772?

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 35752 and 35772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35752 and 35772, than apply into the LCM equation.

GCF(35752,35772) = 4
LCM(35752,35772) = ( 35752 × 35772) / 4
LCM(35752,35772) = 1278920544 / 4
LCM(35752,35772) = 319730136

Least Common Multiple (LCM) of 35752 and 35772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35752 and 35772. First we will calculate the prime factors of 35752 and 35772.

Prime Factorization of 35752

Prime Factorization of 35772

Now multiplying the highest exponent prime factors to calculate the LCM of 35752 and 35772.

LCM(35752,35772) = 2³ × 41¹ × 109¹ × 3¹ × 11¹ × 271¹
LCM(35752,35772) = 319730136