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What is the Least Common Multiple of 57015 and 57022?

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 57015 and 57022 is 464444190.

LCM(57015,57022) = 464444190

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Least Common Multiple of 57015 and 57022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57015 and 57022, than apply into the LCM equation.

GCF(57015,57022) = 7
LCM(57015,57022) = ( 57015 × 57022) / 7
LCM(57015,57022) = 3251109330 / 7
LCM(57015,57022) = 464444190

Least Common Multiple (LCM) of 57015 and 57022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57015 and 57022. First we will calculate the prime factors of 57015 and 57022.

Prime Factorization of 57015

Prime factors of 57015 are 3, 5, 7, 181. Prime factorization of 57015 in exponential form is:

57015 = 32 × 51 × 71 × 1811

Prime Factorization of 57022

Prime factors of 57022 are 2, 7, 4073. Prime factorization of 57022 in exponential form is:

57022 = 21 × 71 × 40731

Now multiplying the highest exponent prime factors to calculate the LCM of 57015 and 57022.

LCM(57015,57022) = 32 × 51 × 71 × 1811 × 21 × 40731
LCM(57015,57022) = 464444190