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What is the Least Common Multiple of 56011 and 56019?

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 56011 and 56019 is 3137680209.

LCM(56011,56019) = 3137680209

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Least Common Multiple of 56011 and 56019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56011 and 56019, than apply into the LCM equation.

GCF(56011,56019) = 1
LCM(56011,56019) = ( 56011 × 56019) / 1
LCM(56011,56019) = 3137680209 / 1
LCM(56011,56019) = 3137680209

Least Common Multiple (LCM) of 56011 and 56019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56011 and 56019. First we will calculate the prime factors of 56011 and 56019.

Prime Factorization of 56011

Prime factors of 56011 are 79, 709. Prime factorization of 56011 in exponential form is:

56011 = 791 × 7091

Prime Factorization of 56019

Prime factors of 56019 are 3, 71, 263. Prime factorization of 56019 in exponential form is:

56019 = 31 × 711 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 56011 and 56019.

LCM(56011,56019) = 791 × 7091 × 31 × 711 × 2631
LCM(56011,56019) = 3137680209