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What is the Least Common Multiple of 57061 and 57068?

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 57061 and 57068 is 3256357148.

LCM(57061,57068) = 3256357148

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Least Common Multiple of 57061 and 57068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57061 and 57068, than apply into the LCM equation.

GCF(57061,57068) = 1
LCM(57061,57068) = ( 57061 × 57068) / 1
LCM(57061,57068) = 3256357148 / 1
LCM(57061,57068) = 3256357148

Least Common Multiple (LCM) of 57061 and 57068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57061 and 57068. First we will calculate the prime factors of 57061 and 57068.

Prime Factorization of 57061

Prime factors of 57061 are 43, 1327. Prime factorization of 57061 in exponential form is:

57061 = 431 × 13271

Prime Factorization of 57068

Prime factors of 57068 are 2, 11, 1297. Prime factorization of 57068 in exponential form is:

57068 = 22 × 111 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 57061 and 57068.

LCM(57061,57068) = 431 × 13271 × 22 × 111 × 12971
LCM(57061,57068) = 3256357148