GCF and LCM Calculator Logo

What is the Least Common Multiple of 48438 and 48447?

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 48438 and 48447 is 260741754.

LCM(48438,48447) = 260741754

LCM Calculator and
and

Least Common Multiple of 48438 and 48447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48438 and 48447, than apply into the LCM equation.

GCF(48438,48447) = 9
LCM(48438,48447) = ( 48438 × 48447) / 9
LCM(48438,48447) = 2346675786 / 9
LCM(48438,48447) = 260741754

Least Common Multiple (LCM) of 48438 and 48447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48438 and 48447. First we will calculate the prime factors of 48438 and 48447.

Prime Factorization of 48438

Prime factors of 48438 are 2, 3, 13, 23. Prime factorization of 48438 in exponential form is:

48438 = 21 × 34 × 131 × 231

Prime Factorization of 48447

Prime factors of 48447 are 3, 7, 769. Prime factorization of 48447 in exponential form is:

48447 = 32 × 71 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 48438 and 48447.

LCM(48438,48447) = 21 × 34 × 131 × 231 × 71 × 7691
LCM(48438,48447) = 260741754