What is the Least Common Multiple of 56435 and 56441?

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 of 56435 and 56441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56435 and 56441, than apply into the LCM equation.

GCF(56435,56441) = 1
LCM(56435,56441) = ( 56435 × 56441) / 1
LCM(56435,56441) = 3185247835 / 1
LCM(56435,56441) = 3185247835

Least Common Multiple (LCM) of 56435 and 56441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56435 and 56441. First we will calculate the prime factors of 56435 and 56441.

Prime Factorization of 56435

Prime Factorization of 56441

Now multiplying the highest exponent prime factors to calculate the LCM of 56435 and 56441.

LCM(56435,56441) = 5¹ × 11287¹ × 7¹ × 11¹ × 733¹
LCM(56435,56441) = 3185247835