What is the Least Common Multiple of 35808 and 35813?

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 35808 and 35813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35808 and 35813, than apply into the LCM equation.

GCF(35808,35813) = 1
LCM(35808,35813) = ( 35808 × 35813) / 1
LCM(35808,35813) = 1282391904 / 1
LCM(35808,35813) = 1282391904

Least Common Multiple (LCM) of 35808 and 35813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35808 and 35813. First we will calculate the prime factors of 35808 and 35813.

Prime Factorization of 35808

Prime Factorization of 35813

Now multiplying the highest exponent prime factors to calculate the LCM of 35808 and 35813.

LCM(35808,35813) = 2⁵ × 3¹ × 373¹ × 59¹ × 607¹
LCM(35808,35813) = 1282391904