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What is the Least Common Multiple of 61721 and 61726?

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 61721 and 61726 is 3809790446.

LCM(61721,61726) = 3809790446

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Least Common Multiple of 61721 and 61726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61721 and 61726, than apply into the LCM equation.

GCF(61721,61726) = 1
LCM(61721,61726) = ( 61721 × 61726) / 1
LCM(61721,61726) = 3809790446 / 1
LCM(61721,61726) = 3809790446

Least Common Multiple (LCM) of 61721 and 61726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61721 and 61726. First we will calculate the prime factors of 61721 and 61726.

Prime Factorization of 61721

Prime factors of 61721 are 11, 31, 181. Prime factorization of 61721 in exponential form is:

61721 = 111 × 311 × 1811

Prime Factorization of 61726

Prime factors of 61726 are 2, 7, 4409. Prime factorization of 61726 in exponential form is:

61726 = 21 × 71 × 44091

Now multiplying the highest exponent prime factors to calculate the LCM of 61721 and 61726.

LCM(61721,61726) = 111 × 311 × 1811 × 21 × 71 × 44091
LCM(61721,61726) = 3809790446