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What is the Least Common Multiple of 60727 and 60745?

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 60727 and 60745 is 3688861615.

LCM(60727,60745) = 3688861615

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Least Common Multiple of 60727 and 60745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60727 and 60745, than apply into the LCM equation.

GCF(60727,60745) = 1
LCM(60727,60745) = ( 60727 × 60745) / 1
LCM(60727,60745) = 3688861615 / 1
LCM(60727,60745) = 3688861615

Least Common Multiple (LCM) of 60727 and 60745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60727 and 60745. First we will calculate the prime factors of 60727 and 60745.

Prime Factorization of 60727

Prime factors of 60727 are 60727. Prime factorization of 60727 in exponential form is:

60727 = 607271

Prime Factorization of 60745

Prime factors of 60745 are 5, 12149. Prime factorization of 60745 in exponential form is:

60745 = 51 × 121491

Now multiplying the highest exponent prime factors to calculate the LCM of 60727 and 60745.

LCM(60727,60745) = 607271 × 51 × 121491
LCM(60727,60745) = 3688861615