What is the Least Common Multiple of 71865 and 71880?

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 71865 and 71880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71865 and 71880, than apply into the LCM equation.

GCF(71865,71880) = 15
LCM(71865,71880) = ( 71865 × 71880) / 15
LCM(71865,71880) = 5165656200 / 15
LCM(71865,71880) = 344377080

Least Common Multiple (LCM) of 71865 and 71880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71865 and 71880. First we will calculate the prime factors of 71865 and 71880.

Prime Factorization of 71865

Prime Factorization of 71880

Now multiplying the highest exponent prime factors to calculate the LCM of 71865 and 71880.

LCM(71865,71880) = 3² × 5¹ × 1597¹ × 2³ × 599¹
LCM(71865,71880) = 344377080