GCF and LCM Calculator Logo

What is the Least Common Multiple of 4280 and 4297?

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 4280 and 4297 is 18391160.

LCM(4280,4297) = 18391160

LCM Calculator and
and

Least Common Multiple of 4280 and 4297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4280 and 4297, than apply into the LCM equation.

GCF(4280,4297) = 1
LCM(4280,4297) = ( 4280 × 4297) / 1
LCM(4280,4297) = 18391160 / 1
LCM(4280,4297) = 18391160

Least Common Multiple (LCM) of 4280 and 4297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4280 and 4297. First we will calculate the prime factors of 4280 and 4297.

Prime Factorization of 4280

Prime factors of 4280 are 2, 5, 107. Prime factorization of 4280 in exponential form is:

4280 = 23 × 51 × 1071

Prime Factorization of 4297

Prime factors of 4297 are 4297. Prime factorization of 4297 in exponential form is:

4297 = 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 4280 and 4297.

LCM(4280,4297) = 23 × 51 × 1071 × 42971
LCM(4280,4297) = 18391160