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What is the Least Common Multiple of 61063 and 61080?

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 61063 and 61080 is 3729728040.

LCM(61063,61080) = 3729728040

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Least Common Multiple of 61063 and 61080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61063 and 61080, than apply into the LCM equation.

GCF(61063,61080) = 1
LCM(61063,61080) = ( 61063 × 61080) / 1
LCM(61063,61080) = 3729728040 / 1
LCM(61063,61080) = 3729728040

Least Common Multiple (LCM) of 61063 and 61080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61063 and 61080. First we will calculate the prime factors of 61063 and 61080.

Prime Factorization of 61063

Prime factors of 61063 are 227, 269. Prime factorization of 61063 in exponential form is:

61063 = 2271 × 2691

Prime Factorization of 61080

Prime factors of 61080 are 2, 3, 5, 509. Prime factorization of 61080 in exponential form is:

61080 = 23 × 31 × 51 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 61063 and 61080.

LCM(61063,61080) = 2271 × 2691 × 23 × 31 × 51 × 5091
LCM(61063,61080) = 3729728040