What is the Least Common Multiple of 35872 and 35880?

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 35872 and 35880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35872 and 35880, than apply into the LCM equation.

GCF(35872,35880) = 8
LCM(35872,35880) = ( 35872 × 35880) / 8
LCM(35872,35880) = 1287087360 / 8
LCM(35872,35880) = 160885920

Least Common Multiple (LCM) of 35872 and 35880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35872 and 35880. First we will calculate the prime factors of 35872 and 35880.

Prime Factorization of 35872

Prime Factorization of 35880

Now multiplying the highest exponent prime factors to calculate the LCM of 35872 and 35880.

LCM(35872,35880) = 2⁵ × 19¹ × 59¹ × 3¹ × 5¹ × 13¹ × 23¹
LCM(35872,35880) = 160885920