GCF and LCM Calculator Logo

What is the Least Common Multiple of 55402 and 55422?

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 55402 and 55422 is 1535244822.

LCM(55402,55422) = 1535244822

LCM Calculator and
and

Least Common Multiple of 55402 and 55422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55402 and 55422, than apply into the LCM equation.

GCF(55402,55422) = 2
LCM(55402,55422) = ( 55402 × 55422) / 2
LCM(55402,55422) = 3070489644 / 2
LCM(55402,55422) = 1535244822

Least Common Multiple (LCM) of 55402 and 55422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55402 and 55422. First we will calculate the prime factors of 55402 and 55422.

Prime Factorization of 55402

Prime factors of 55402 are 2, 27701. Prime factorization of 55402 in exponential form is:

55402 = 21 × 277011

Prime Factorization of 55422

Prime factors of 55422 are 2, 3, 3079. Prime factorization of 55422 in exponential form is:

55422 = 21 × 32 × 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 55402 and 55422.

LCM(55402,55422) = 21 × 277011 × 32 × 30791
LCM(55402,55422) = 1535244822