GCF and LCM Calculator Logo

What is the Least Common Multiple of 4280 and 4298?

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 4298 is 9197720.

LCM(4280,4298) = 9197720

LCM Calculator and
and

Least Common Multiple of 4280 and 4298 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 4298, than apply into the LCM equation.

GCF(4280,4298) = 2
LCM(4280,4298) = ( 4280 × 4298) / 2
LCM(4280,4298) = 18395440 / 2
LCM(4280,4298) = 9197720

Least Common Multiple (LCM) of 4280 and 4298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4280 and 4298. First we will calculate the prime factors of 4280 and 4298.

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 4298

Prime factors of 4298 are 2, 7, 307. Prime factorization of 4298 in exponential form is:

4298 = 21 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 4280 and 4298.

LCM(4280,4298) = 23 × 51 × 1071 × 71 × 3071
LCM(4280,4298) = 9197720