What is the Least Common Multiple of 71280 and 71300?

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 71280 and 71300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71280 and 71300, than apply into the LCM equation.

GCF(71280,71300) = 20
LCM(71280,71300) = ( 71280 × 71300) / 20
LCM(71280,71300) = 5082264000 / 20
LCM(71280,71300) = 254113200

Least Common Multiple (LCM) of 71280 and 71300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71280 and 71300. First we will calculate the prime factors of 71280 and 71300.

Prime Factorization of 71280

Prime Factorization of 71300

Now multiplying the highest exponent prime factors to calculate the LCM of 71280 and 71300.

LCM(71280,71300) = 2⁴ × 3⁴ × 5² × 11¹ × 23¹ × 31¹
LCM(71280,71300) = 254113200