GCF and LCM Calculator Logo

What is the Least Common Multiple of 52403 and 52422?

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 52403 and 52422 is 2747070066.

LCM(52403,52422) = 2747070066

LCM Calculator and
and

Least Common Multiple of 52403 and 52422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52403 and 52422, than apply into the LCM equation.

GCF(52403,52422) = 1
LCM(52403,52422) = ( 52403 × 52422) / 1
LCM(52403,52422) = 2747070066 / 1
LCM(52403,52422) = 2747070066

Least Common Multiple (LCM) of 52403 and 52422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52403 and 52422. First we will calculate the prime factors of 52403 and 52422.

Prime Factorization of 52403

Prime factors of 52403 are 13, 29, 139. Prime factorization of 52403 in exponential form is:

52403 = 131 × 291 × 1391

Prime Factorization of 52422

Prime factors of 52422 are 2, 3, 8737. Prime factorization of 52422 in exponential form is:

52422 = 21 × 31 × 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 52403 and 52422.

LCM(52403,52422) = 131 × 291 × 1391 × 21 × 31 × 87371
LCM(52403,52422) = 2747070066