What is the Least Common Multiple of 55280 and 55290?

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 55290 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 55290, than apply into the LCM equation.

GCF(55280,55290) = 10
LCM(55280,55290) = ( 55280 × 55290) / 10
LCM(55280,55290) = 3056431200 / 10
LCM(55280,55290) = 305643120

Least Common Multiple (LCM) of 55280 and 55290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55280 and 55290. First we will calculate the prime factors of 55280 and 55290.

Prime Factorization of 55280

Prime Factorization of 55290

Now multiplying the highest exponent prime factors to calculate the LCM of 55280 and 55290.

LCM(55280,55290) = 2⁴ × 5¹ × 691¹ × 3¹ × 19¹ × 97¹
LCM(55280,55290) = 305643120