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What is the Least Common Multiple of 18760 and 18765?

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 18760 and 18765 is 70406280.

LCM(18760,18765) = 70406280

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Least Common Multiple of 18760 and 18765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18760 and 18765, than apply into the LCM equation.

GCF(18760,18765) = 5
LCM(18760,18765) = ( 18760 × 18765) / 5
LCM(18760,18765) = 352031400 / 5
LCM(18760,18765) = 70406280

Least Common Multiple (LCM) of 18760 and 18765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18760 and 18765. First we will calculate the prime factors of 18760 and 18765.

Prime Factorization of 18760

Prime factors of 18760 are 2, 5, 7, 67. Prime factorization of 18760 in exponential form is:

18760 = 23 × 51 × 71 × 671

Prime Factorization of 18765

Prime factors of 18765 are 3, 5, 139. Prime factorization of 18765 in exponential form is:

18765 = 33 × 51 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 18760 and 18765.

LCM(18760,18765) = 23 × 51 × 71 × 671 × 33 × 1391
LCM(18760,18765) = 70406280