What is the Least Common Multiple of 55080 and 55090?

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 55080 and 55090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55080 and 55090, than apply into the LCM equation.

GCF(55080,55090) = 10
LCM(55080,55090) = ( 55080 × 55090) / 10
LCM(55080,55090) = 3034357200 / 10
LCM(55080,55090) = 303435720

Least Common Multiple (LCM) of 55080 and 55090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55080 and 55090. First we will calculate the prime factors of 55080 and 55090.

Prime Factorization of 55080

Prime Factorization of 55090

Now multiplying the highest exponent prime factors to calculate the LCM of 55080 and 55090.

LCM(55080,55090) = 2³ × 3⁴ × 5¹ × 17¹ × 7¹ × 787¹
LCM(55080,55090) = 303435720