What is the Least Common Multiple of 6438 and 6458?

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 6438 and 6458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6438 and 6458, than apply into the LCM equation.

GCF(6438,6458) = 2
LCM(6438,6458) = ( 6438 × 6458) / 2
LCM(6438,6458) = 41576604 / 2
LCM(6438,6458) = 20788302

Least Common Multiple (LCM) of 6438 and 6458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6458. First we will calculate the prime factors of 6438 and 6458.

Prime Factorization of 6438

Prime Factorization of 6458

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6458.

LCM(6438,6458) = 2¹ × 3¹ × 29¹ × 37¹ × 3229¹
LCM(6438,6458) = 20788302