GCF and LCM Calculator Logo

What is the Least Common Multiple of 55208 and 55222?

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 55208 and 55222 is 1524348088.

LCM(55208,55222) = 1524348088

LCM Calculator and
and

Least Common Multiple of 55208 and 55222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55208 and 55222, than apply into the LCM equation.

GCF(55208,55222) = 2
LCM(55208,55222) = ( 55208 × 55222) / 2
LCM(55208,55222) = 3048696176 / 2
LCM(55208,55222) = 1524348088

Least Common Multiple (LCM) of 55208 and 55222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55208 and 55222. First we will calculate the prime factors of 55208 and 55222.

Prime Factorization of 55208

Prime factors of 55208 are 2, 67, 103. Prime factorization of 55208 in exponential form is:

55208 = 23 × 671 × 1031

Prime Factorization of 55222

Prime factors of 55222 are 2, 27611. Prime factorization of 55222 in exponential form is:

55222 = 21 × 276111

Now multiplying the highest exponent prime factors to calculate the LCM of 55208 and 55222.

LCM(55208,55222) = 23 × 671 × 1031 × 276111
LCM(55208,55222) = 1524348088