GCF and LCM Calculator Logo

What is the Least Common Multiple of 54476 and 54486?

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 54476 and 54486 is 1484089668.

LCM(54476,54486) = 1484089668

LCM Calculator and
and

Least Common Multiple of 54476 and 54486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54476 and 54486, than apply into the LCM equation.

GCF(54476,54486) = 2
LCM(54476,54486) = ( 54476 × 54486) / 2
LCM(54476,54486) = 2968179336 / 2
LCM(54476,54486) = 1484089668

Least Common Multiple (LCM) of 54476 and 54486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54476 and 54486. First we will calculate the prime factors of 54476 and 54486.

Prime Factorization of 54476

Prime factors of 54476 are 2, 13619. Prime factorization of 54476 in exponential form is:

54476 = 22 × 136191

Prime Factorization of 54486

Prime factors of 54486 are 2, 3, 1009. Prime factorization of 54486 in exponential form is:

54486 = 21 × 33 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 54476 and 54486.

LCM(54476,54486) = 22 × 136191 × 33 × 10091
LCM(54476,54486) = 1484089668