What is the Least Common Multiple of 67872 and 67880?

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 67872 and 67880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67872 and 67880, than apply into the LCM equation.

GCF(67872,67880) = 8
LCM(67872,67880) = ( 67872 × 67880) / 8
LCM(67872,67880) = 4607151360 / 8
LCM(67872,67880) = 575893920

Least Common Multiple (LCM) of 67872 and 67880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67872 and 67880. First we will calculate the prime factors of 67872 and 67880.

Prime Factorization of 67872

Prime Factorization of 67880

Now multiplying the highest exponent prime factors to calculate the LCM of 67872 and 67880.

LCM(67872,67880) = 2⁵ × 3¹ × 7¹ × 101¹ × 5¹ × 1697¹
LCM(67872,67880) = 575893920