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What is the Least Common Multiple of 57013 and 57026?

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 57013 and 57026 is 3251223338.

LCM(57013,57026) = 3251223338

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Least Common Multiple of 57013 and 57026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57013 and 57026, than apply into the LCM equation.

GCF(57013,57026) = 1
LCM(57013,57026) = ( 57013 × 57026) / 1
LCM(57013,57026) = 3251223338 / 1
LCM(57013,57026) = 3251223338

Least Common Multiple (LCM) of 57013 and 57026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57013 and 57026. First we will calculate the prime factors of 57013 and 57026.

Prime Factorization of 57013

Prime factors of 57013 are 11, 71, 73. Prime factorization of 57013 in exponential form is:

57013 = 111 × 711 × 731

Prime Factorization of 57026

Prime factors of 57026 are 2, 28513. Prime factorization of 57026 in exponential form is:

57026 = 21 × 285131

Now multiplying the highest exponent prime factors to calculate the LCM of 57013 and 57026.

LCM(57013,57026) = 111 × 711 × 731 × 21 × 285131
LCM(57013,57026) = 3251223338