What is the Least Common Multiple of 55872 and 55890?

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 55872 and 55890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55872 and 55890, than apply into the LCM equation.

GCF(55872,55890) = 18
LCM(55872,55890) = ( 55872 × 55890) / 18
LCM(55872,55890) = 3122686080 / 18
LCM(55872,55890) = 173482560

Least Common Multiple (LCM) of 55872 and 55890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55872 and 55890. First we will calculate the prime factors of 55872 and 55890.

Prime Factorization of 55872

Prime Factorization of 55890

Now multiplying the highest exponent prime factors to calculate the LCM of 55872 and 55890.

LCM(55872,55890) = 2⁶ × 3⁵ × 97¹ × 5¹ × 23¹
LCM(55872,55890) = 173482560