What is the Least Common Multiple of 42441 and 42457?

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 42441 and 42457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42441 and 42457, than apply into the LCM equation.

GCF(42441,42457) = 1
LCM(42441,42457) = ( 42441 × 42457) / 1
LCM(42441,42457) = 1801917537 / 1
LCM(42441,42457) = 1801917537

Least Common Multiple (LCM) of 42441 and 42457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42441 and 42457. First we will calculate the prime factors of 42441 and 42457.

Prime Factorization of 42441

Prime Factorization of 42457

Now multiplying the highest exponent prime factors to calculate the LCM of 42441 and 42457.

LCM(42441,42457) = 3¹ × 7¹ × 43¹ × 47¹ × 42457¹
LCM(42441,42457) = 1801917537