GCF and LCM Calculator Logo

What is the Least Common Multiple of 6420 and 6425?

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 (LCM) of 6420 and 6425 is 8249700.

LCM(6420,6425) = 8249700

LCM Calculator and
and

Least Common Multiple of 6420 and 6425 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 6425, than apply into the LCM equation.

GCF(6420,6425) = 5
LCM(6420,6425) = ( 6420 × 6425) / 5
LCM(6420,6425) = 41248500 / 5
LCM(6420,6425) = 8249700

Least Common Multiple (LCM) of 6420 and 6425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6420 and 6425. First we will calculate the prime factors of 6420 and 6425.

Prime Factorization of 6420

Prime factors of 6420 are 2, 3, 5, 107. Prime factorization of 6420 in exponential form is:

6420 = 22 × 31 × 51 × 1071

Prime Factorization of 6425

Prime factors of 6425 are 5, 257. Prime factorization of 6425 in exponential form is:

6425 = 52 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 6420 and 6425.

LCM(6420,6425) = 22 × 31 × 52 × 1071 × 2571
LCM(6420,6425) = 8249700