What is the Least Common Multiple of 6445 and 6450?

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 6445 and 6450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6445 and 6450, than apply into the LCM equation.

GCF(6445,6450) = 5
LCM(6445,6450) = ( 6445 × 6450) / 5
LCM(6445,6450) = 41570250 / 5
LCM(6445,6450) = 8314050

Least Common Multiple (LCM) of 6445 and 6450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6445 and 6450. First we will calculate the prime factors of 6445 and 6450.

Prime Factorization of 6445

Prime Factorization of 6450

Now multiplying the highest exponent prime factors to calculate the LCM of 6445 and 6450.

LCM(6445,6450) = 5² × 1289¹ × 2¹ × 3¹ × 43¹
LCM(6445,6450) = 8314050