What is the Least Common Multiple of 61872 and 61888?

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 61872 and 61888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61872 and 61888, than apply into the LCM equation.

GCF(61872,61888) = 16
LCM(61872,61888) = ( 61872 × 61888) / 16
LCM(61872,61888) = 3829134336 / 16
LCM(61872,61888) = 239320896

Least Common Multiple (LCM) of 61872 and 61888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61872 and 61888. First we will calculate the prime factors of 61872 and 61888.

Prime Factorization of 61872

Prime Factorization of 61888

Now multiplying the highest exponent prime factors to calculate the LCM of 61872 and 61888.

LCM(61872,61888) = 2⁶ × 3¹ × 1289¹ × 967¹
LCM(61872,61888) = 239320896