GCF and LCM Calculator Logo

What is the Least Common Multiple of 67484 and 67490?

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 67484 and 67490 is 2277247580.

LCM(67484,67490) = 2277247580

LCM Calculator and
and

Least Common Multiple of 67484 and 67490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67484 and 67490, than apply into the LCM equation.

GCF(67484,67490) = 2
LCM(67484,67490) = ( 67484 × 67490) / 2
LCM(67484,67490) = 4554495160 / 2
LCM(67484,67490) = 2277247580

Least Common Multiple (LCM) of 67484 and 67490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67484 and 67490. First we will calculate the prime factors of 67484 and 67490.

Prime Factorization of 67484

Prime factors of 67484 are 2, 16871. Prime factorization of 67484 in exponential form is:

67484 = 22 × 168711

Prime Factorization of 67490

Prime factors of 67490 are 2, 5, 17, 397. Prime factorization of 67490 in exponential form is:

67490 = 21 × 51 × 171 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 67484 and 67490.

LCM(67484,67490) = 22 × 168711 × 51 × 171 × 3971
LCM(67484,67490) = 2277247580