What is the Least Common Multiple of 5880 and 5900?

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 5880 and 5900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5880 and 5900, than apply into the LCM equation.

GCF(5880,5900) = 20
LCM(5880,5900) = ( 5880 × 5900) / 20
LCM(5880,5900) = 34692000 / 20
LCM(5880,5900) = 1734600

Least Common Multiple (LCM) of 5880 and 5900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5880 and 5900. First we will calculate the prime factors of 5880 and 5900.

Prime Factorization of 5880

Prime Factorization of 5900

Now multiplying the highest exponent prime factors to calculate the LCM of 5880 and 5900.

LCM(5880,5900) = 2³ × 3¹ × 5² × 7² × 59¹
LCM(5880,5900) = 1734600