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What is the Least Common Multiple of 56013 and 56031?

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 56013 and 56031 is 1046154801.

LCM(56013,56031) = 1046154801

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Least Common Multiple of 56013 and 56031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56013 and 56031, than apply into the LCM equation.

GCF(56013,56031) = 3
LCM(56013,56031) = ( 56013 × 56031) / 3
LCM(56013,56031) = 3138464403 / 3
LCM(56013,56031) = 1046154801

Least Common Multiple (LCM) of 56013 and 56031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56013 and 56031. First we will calculate the prime factors of 56013 and 56031.

Prime Factorization of 56013

Prime factors of 56013 are 3, 18671. Prime factorization of 56013 in exponential form is:

56013 = 31 × 186711

Prime Factorization of 56031

Prime factors of 56031 are 3, 19, 983. Prime factorization of 56031 in exponential form is:

56031 = 31 × 191 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 56013 and 56031.

LCM(56013,56031) = 31 × 186711 × 191 × 9831
LCM(56013,56031) = 1046154801