GCF and LCM Calculator Logo

What is the Least Common Multiple of 7578 and 7598?

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 7578 and 7598 is 28788822.

LCM(7578,7598) = 28788822

LCM Calculator and
and

Least Common Multiple of 7578 and 7598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7578 and 7598, than apply into the LCM equation.

GCF(7578,7598) = 2
LCM(7578,7598) = ( 7578 × 7598) / 2
LCM(7578,7598) = 57577644 / 2
LCM(7578,7598) = 28788822

Least Common Multiple (LCM) of 7578 and 7598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7578 and 7598. First we will calculate the prime factors of 7578 and 7598.

Prime Factorization of 7578

Prime factors of 7578 are 2, 3, 421. Prime factorization of 7578 in exponential form is:

7578 = 21 × 32 × 4211

Prime Factorization of 7598

Prime factors of 7598 are 2, 29, 131. Prime factorization of 7598 in exponential form is:

7598 = 21 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7578 and 7598.

LCM(7578,7598) = 21 × 32 × 4211 × 291 × 1311
LCM(7578,7598) = 28788822