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What is the Least Common Multiple of 60706 and 60725?

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 60706 and 60725 is 3686371850.

LCM(60706,60725) = 3686371850

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Least Common Multiple of 60706 and 60725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60706 and 60725, than apply into the LCM equation.

GCF(60706,60725) = 1
LCM(60706,60725) = ( 60706 × 60725) / 1
LCM(60706,60725) = 3686371850 / 1
LCM(60706,60725) = 3686371850

Least Common Multiple (LCM) of 60706 and 60725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60706 and 60725. First we will calculate the prime factors of 60706 and 60725.

Prime Factorization of 60706

Prime factors of 60706 are 2, 127, 239. Prime factorization of 60706 in exponential form is:

60706 = 21 × 1271 × 2391

Prime Factorization of 60725

Prime factors of 60725 are 5, 7, 347. Prime factorization of 60725 in exponential form is:

60725 = 52 × 71 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 60706 and 60725.

LCM(60706,60725) = 21 × 1271 × 2391 × 52 × 71 × 3471
LCM(60706,60725) = 3686371850