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What is the Least Common Multiple of 60771 and 60785?

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 60771 and 60785 is 3693965235.

LCM(60771,60785) = 3693965235

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Least Common Multiple of 60771 and 60785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60771 and 60785, than apply into the LCM equation.

GCF(60771,60785) = 1
LCM(60771,60785) = ( 60771 × 60785) / 1
LCM(60771,60785) = 3693965235 / 1
LCM(60771,60785) = 3693965235

Least Common Multiple (LCM) of 60771 and 60785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60771 and 60785. First we will calculate the prime factors of 60771 and 60785.

Prime Factorization of 60771

Prime factors of 60771 are 3, 47, 431. Prime factorization of 60771 in exponential form is:

60771 = 31 × 471 × 4311

Prime Factorization of 60785

Prime factors of 60785 are 5, 12157. Prime factorization of 60785 in exponential form is:

60785 = 51 × 121571

Now multiplying the highest exponent prime factors to calculate the LCM of 60771 and 60785.

LCM(60771,60785) = 31 × 471 × 4311 × 51 × 121571
LCM(60771,60785) = 3693965235