What is the Least Common Multiple of 55260 and 55269?

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 55260 and 55269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55260 and 55269, than apply into the LCM equation.

GCF(55260,55269) = 9
LCM(55260,55269) = ( 55260 × 55269) / 9
LCM(55260,55269) = 3054164940 / 9
LCM(55260,55269) = 339351660

Least Common Multiple (LCM) of 55260 and 55269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55260 and 55269. First we will calculate the prime factors of 55260 and 55269.

Prime Factorization of 55260

Prime Factorization of 55269

Now multiplying the highest exponent prime factors to calculate the LCM of 55260 and 55269.

LCM(55260,55269) = 2² × 3³ × 5¹ × 307¹ × 23¹ × 89¹
LCM(55260,55269) = 339351660