What is the Least Common Multiple of 6420 and 6433?

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 6420 and 6433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6420 and 6433, than apply into the LCM equation.

GCF(6420,6433) = 1
LCM(6420,6433) = ( 6420 × 6433) / 1
LCM(6420,6433) = 41299860 / 1
LCM(6420,6433) = 41299860

Least Common Multiple (LCM) of 6420 and 6433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6420 and 6433. First we will calculate the prime factors of 6420 and 6433.

Prime Factorization of 6420

Prime Factorization of 6433

Now multiplying the highest exponent prime factors to calculate the LCM of 6420 and 6433.

LCM(6420,6433) = 2² × 3¹ × 5¹ × 107¹ × 7¹ × 919¹
LCM(6420,6433) = 41299860