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What is the Least Common Multiple of 60870 and 60886?

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 60870 and 60886 is 1853065410.

LCM(60870,60886) = 1853065410

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Least Common Multiple of 60870 and 60886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60870 and 60886, than apply into the LCM equation.

GCF(60870,60886) = 2
LCM(60870,60886) = ( 60870 × 60886) / 2
LCM(60870,60886) = 3706130820 / 2
LCM(60870,60886) = 1853065410

Least Common Multiple (LCM) of 60870 and 60886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60870 and 60886. First we will calculate the prime factors of 60870 and 60886.

Prime Factorization of 60870

Prime factors of 60870 are 2, 3, 5, 2029. Prime factorization of 60870 in exponential form is:

60870 = 21 × 31 × 51 × 20291

Prime Factorization of 60886

Prime factors of 60886 are 2, 7, 4349. Prime factorization of 60886 in exponential form is:

60886 = 21 × 71 × 43491

Now multiplying the highest exponent prime factors to calculate the LCM of 60870 and 60886.

LCM(60870,60886) = 21 × 31 × 51 × 20291 × 71 × 43491
LCM(60870,60886) = 1853065410