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What is the Least Common Multiple of 8013 and 8031?

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 8013 and 8031 is 21450801.

LCM(8013,8031) = 21450801

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Least Common Multiple of 8013 and 8031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8013 and 8031, than apply into the LCM equation.

GCF(8013,8031) = 3
LCM(8013,8031) = ( 8013 × 8031) / 3
LCM(8013,8031) = 64352403 / 3
LCM(8013,8031) = 21450801

Least Common Multiple (LCM) of 8013 and 8031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8013 and 8031. First we will calculate the prime factors of 8013 and 8031.

Prime Factorization of 8013

Prime factors of 8013 are 3, 2671. Prime factorization of 8013 in exponential form is:

8013 = 31 × 26711

Prime Factorization of 8031

Prime factors of 8031 are 3, 2677. Prime factorization of 8031 in exponential form is:

8031 = 31 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 8013 and 8031.

LCM(8013,8031) = 31 × 26711 × 26771
LCM(8013,8031) = 21450801