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What is the Least Common Multiple of 6242 and 6248?

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 6242 and 6248 is 19500008.

LCM(6242,6248) = 19500008

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Least Common Multiple of 6242 and 6248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6242 and 6248, than apply into the LCM equation.

GCF(6242,6248) = 2
LCM(6242,6248) = ( 6242 × 6248) / 2
LCM(6242,6248) = 39000016 / 2
LCM(6242,6248) = 19500008

Least Common Multiple (LCM) of 6242 and 6248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6242 and 6248. First we will calculate the prime factors of 6242 and 6248.

Prime Factorization of 6242

Prime factors of 6242 are 2, 3121. Prime factorization of 6242 in exponential form is:

6242 = 21 × 31211

Prime Factorization of 6248

Prime factors of 6248 are 2, 11, 71. Prime factorization of 6248 in exponential form is:

6248 = 23 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 6242 and 6248.

LCM(6242,6248) = 23 × 31211 × 111 × 711
LCM(6242,6248) = 19500008