GCF and LCM Calculator Logo

What is the Least Common Multiple of 55386 and 55402?

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 55386 and 55402 is 1534247586.

LCM(55386,55402) = 1534247586

LCM Calculator and
and

Least Common Multiple of 55386 and 55402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55386 and 55402, than apply into the LCM equation.

GCF(55386,55402) = 2
LCM(55386,55402) = ( 55386 × 55402) / 2
LCM(55386,55402) = 3068495172 / 2
LCM(55386,55402) = 1534247586

Least Common Multiple (LCM) of 55386 and 55402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55386 and 55402. First we will calculate the prime factors of 55386 and 55402.

Prime Factorization of 55386

Prime factors of 55386 are 2, 3, 17, 181. Prime factorization of 55386 in exponential form is:

55386 = 21 × 32 × 171 × 1811

Prime Factorization of 55402

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

55402 = 21 × 277011

Now multiplying the highest exponent prime factors to calculate the LCM of 55386 and 55402.

LCM(55386,55402) = 21 × 32 × 171 × 1811 × 277011
LCM(55386,55402) = 1534247586