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What is the Least Common Multiple of 67860 and 67869?

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 67860 and 67869 is 511732260.

LCM(67860,67869) = 511732260

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Least Common Multiple of 67860 and 67869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67860 and 67869, than apply into the LCM equation.

GCF(67860,67869) = 9
LCM(67860,67869) = ( 67860 × 67869) / 9
LCM(67860,67869) = 4605590340 / 9
LCM(67860,67869) = 511732260

Least Common Multiple (LCM) of 67860 and 67869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67860 and 67869. First we will calculate the prime factors of 67860 and 67869.

Prime Factorization of 67860

Prime factors of 67860 are 2, 3, 5, 13, 29. Prime factorization of 67860 in exponential form is:

67860 = 22 × 32 × 51 × 131 × 291

Prime Factorization of 67869

Prime factors of 67869 are 3, 7541. Prime factorization of 67869 in exponential form is:

67869 = 32 × 75411

Now multiplying the highest exponent prime factors to calculate the LCM of 67860 and 67869.

LCM(67860,67869) = 22 × 32 × 51 × 131 × 291 × 75411
LCM(67860,67869) = 511732260