What is the Least Common Multiple of 31280 and 31288?

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 31280 and 31288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31280 and 31288, than apply into the LCM equation.

GCF(31280,31288) = 8
LCM(31280,31288) = ( 31280 × 31288) / 8
LCM(31280,31288) = 978688640 / 8
LCM(31280,31288) = 122336080

Least Common Multiple (LCM) of 31280 and 31288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31280 and 31288. First we will calculate the prime factors of 31280 and 31288.

Prime Factorization of 31280

Prime Factorization of 31288

Now multiplying the highest exponent prime factors to calculate the LCM of 31280 and 31288.

LCM(31280,31288) = 2⁴ × 5¹ × 17¹ × 23¹ × 3911¹
LCM(31280,31288) = 122336080