What is the Least Common Multiple of 63413 and 63431?

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 63413 and 63431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63413 and 63431, than apply into the LCM equation.

GCF(63413,63431) = 1
LCM(63413,63431) = ( 63413 × 63431) / 1
LCM(63413,63431) = 4022350003 / 1
LCM(63413,63431) = 4022350003

Least Common Multiple (LCM) of 63413 and 63431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63413 and 63431. First we will calculate the prime factors of 63413 and 63431.

Prime Factorization of 63413

Prime Factorization of 63431

Now multiplying the highest exponent prime factors to calculate the LCM of 63413 and 63431.

LCM(63413,63431) = 7¹ × 9059¹ × 137¹ × 463¹
LCM(63413,63431) = 4022350003