GCF and LCM Calculator Logo

What is the Least Common Multiple of 5482 and 5494?

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 5482 and 5494 is 15059054.

LCM(5482,5494) = 15059054

LCM Calculator and
and

Least Common Multiple of 5482 and 5494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5482 and 5494, than apply into the LCM equation.

GCF(5482,5494) = 2
LCM(5482,5494) = ( 5482 × 5494) / 2
LCM(5482,5494) = 30118108 / 2
LCM(5482,5494) = 15059054

Least Common Multiple (LCM) of 5482 and 5494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5482 and 5494. First we will calculate the prime factors of 5482 and 5494.

Prime Factorization of 5482

Prime factors of 5482 are 2, 2741. Prime factorization of 5482 in exponential form is:

5482 = 21 × 27411

Prime Factorization of 5494

Prime factors of 5494 are 2, 41, 67. Prime factorization of 5494 in exponential form is:

5494 = 21 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 5482 and 5494.

LCM(5482,5494) = 21 × 27411 × 411 × 671
LCM(5482,5494) = 15059054