What is the Least Common Multiple of 55280 and 55288?

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 55280 and 55288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55280 and 55288, than apply into the LCM equation.

GCF(55280,55288) = 8
LCM(55280,55288) = ( 55280 × 55288) / 8
LCM(55280,55288) = 3056320640 / 8
LCM(55280,55288) = 382040080

Least Common Multiple (LCM) of 55280 and 55288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55280 and 55288. First we will calculate the prime factors of 55280 and 55288.

Prime Factorization of 55280

Prime Factorization of 55288

Now multiplying the highest exponent prime factors to calculate the LCM of 55280 and 55288.

LCM(55280,55288) = 2⁴ × 5¹ × 691¹ × 6911¹
LCM(55280,55288) = 382040080