GCF and LCM Calculator Logo

What is the Least Common Multiple of 55338 and 55350?

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 (LCM) of 55338 and 55350 is 510493050.

LCM(55338,55350) = 510493050

LCM Calculator and
and

Least Common Multiple of 55338 and 55350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55338 and 55350, than apply into the LCM equation.

GCF(55338,55350) = 6
LCM(55338,55350) = ( 55338 × 55350) / 6
LCM(55338,55350) = 3062958300 / 6
LCM(55338,55350) = 510493050

Least Common Multiple (LCM) of 55338 and 55350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55338 and 55350. First we will calculate the prime factors of 55338 and 55350.

Prime Factorization of 55338

Prime factors of 55338 are 2, 3, 23, 401. Prime factorization of 55338 in exponential form is:

55338 = 21 × 31 × 231 × 4011

Prime Factorization of 55350

Prime factors of 55350 are 2, 3, 5, 41. Prime factorization of 55350 in exponential form is:

55350 = 21 × 33 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 55338 and 55350.

LCM(55338,55350) = 21 × 33 × 231 × 4011 × 52 × 411
LCM(55338,55350) = 510493050