What is the Least Common Multiple of 68872 and 68880?

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 68872 and 68880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68872 and 68880, than apply into the LCM equation.

GCF(68872,68880) = 8
LCM(68872,68880) = ( 68872 × 68880) / 8
LCM(68872,68880) = 4743903360 / 8
LCM(68872,68880) = 592987920

Least Common Multiple (LCM) of 68872 and 68880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68872 and 68880. First we will calculate the prime factors of 68872 and 68880.

Prime Factorization of 68872

Prime Factorization of 68880

Now multiplying the highest exponent prime factors to calculate the LCM of 68872 and 68880.

LCM(68872,68880) = 2⁴ × 8609¹ × 3¹ × 5¹ × 7¹ × 41¹
LCM(68872,68880) = 592987920