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What is the Least Common Multiple of 61131 and 61147?

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 61131 and 61147 is 3737977257.

LCM(61131,61147) = 3737977257

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Least Common Multiple of 61131 and 61147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61131 and 61147, than apply into the LCM equation.

GCF(61131,61147) = 1
LCM(61131,61147) = ( 61131 × 61147) / 1
LCM(61131,61147) = 3737977257 / 1
LCM(61131,61147) = 3737977257

Least Common Multiple (LCM) of 61131 and 61147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61131 and 61147. First we will calculate the prime factors of 61131 and 61147.

Prime Factorization of 61131

Prime factors of 61131 are 3, 7, 41, 71. Prime factorization of 61131 in exponential form is:

61131 = 31 × 71 × 411 × 711

Prime Factorization of 61147

Prime factors of 61147 are 47, 1301. Prime factorization of 61147 in exponential form is:

61147 = 471 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 61131 and 61147.

LCM(61131,61147) = 31 × 71 × 411 × 711 × 471 × 13011
LCM(61131,61147) = 3737977257