What is the Least Common Multiple of 42430 and 42441?

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 42430 and 42441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42430 and 42441, than apply into the LCM equation.

GCF(42430,42441) = 1
LCM(42430,42441) = ( 42430 × 42441) / 1
LCM(42430,42441) = 1800771630 / 1
LCM(42430,42441) = 1800771630

Least Common Multiple (LCM) of 42430 and 42441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42430 and 42441. First we will calculate the prime factors of 42430 and 42441.

Prime Factorization of 42430

Prime Factorization of 42441

Now multiplying the highest exponent prime factors to calculate the LCM of 42430 and 42441.

LCM(42430,42441) = 2¹ × 5¹ × 4243¹ × 3¹ × 7¹ × 43¹ × 47¹
LCM(42430,42441) = 1800771630