What is the Least Common Multiple of 55160 and 55180?

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 55160 and 55180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55160 and 55180, than apply into the LCM equation.

GCF(55160,55180) = 20
LCM(55160,55180) = ( 55160 × 55180) / 20
LCM(55160,55180) = 3043728800 / 20
LCM(55160,55180) = 152186440

Least Common Multiple (LCM) of 55160 and 55180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55160 and 55180. First we will calculate the prime factors of 55160 and 55180.

Prime Factorization of 55160

Prime Factorization of 55180

Now multiplying the highest exponent prime factors to calculate the LCM of 55160 and 55180.

LCM(55160,55180) = 2³ × 5¹ × 7¹ × 197¹ × 31¹ × 89¹
LCM(55160,55180) = 152186440