What is the Least Common Multiple of 63431 and 63449?

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 63431 and 63449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63431 and 63449, than apply into the LCM equation.

GCF(63431,63449) = 1
LCM(63431,63449) = ( 63431 × 63449) / 1
LCM(63431,63449) = 4024633519 / 1
LCM(63431,63449) = 4024633519

Least Common Multiple (LCM) of 63431 and 63449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63431 and 63449. First we will calculate the prime factors of 63431 and 63449.

Prime Factorization of 63431

Prime Factorization of 63449

Now multiplying the highest exponent prime factors to calculate the LCM of 63431 and 63449.

LCM(63431,63449) = 137¹ × 463¹ × 67¹ × 947¹
LCM(63431,63449) = 4024633519