What is the Least Common Multiple of 35824 and 35832?

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 35824 and 35832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35824 and 35832, than apply into the LCM equation.

GCF(35824,35832) = 8
LCM(35824,35832) = ( 35824 × 35832) / 8
LCM(35824,35832) = 1283645568 / 8
LCM(35824,35832) = 160455696

Least Common Multiple (LCM) of 35824 and 35832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35824 and 35832. First we will calculate the prime factors of 35824 and 35832.

Prime Factorization of 35824

Prime Factorization of 35832

Now multiplying the highest exponent prime factors to calculate the LCM of 35824 and 35832.

LCM(35824,35832) = 2⁴ × 2239¹ × 3¹ × 1493¹
LCM(35824,35832) = 160455696