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What is the Least Common Multiple of 67304 and 67315?

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 67304 and 67315 is 4530568760.

LCM(67304,67315) = 4530568760

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Least Common Multiple of 67304 and 67315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67304 and 67315, than apply into the LCM equation.

GCF(67304,67315) = 1
LCM(67304,67315) = ( 67304 × 67315) / 1
LCM(67304,67315) = 4530568760 / 1
LCM(67304,67315) = 4530568760

Least Common Multiple (LCM) of 67304 and 67315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67304 and 67315. First we will calculate the prime factors of 67304 and 67315.

Prime Factorization of 67304

Prime factors of 67304 are 2, 47, 179. Prime factorization of 67304 in exponential form is:

67304 = 23 × 471 × 1791

Prime Factorization of 67315

Prime factors of 67315 are 5, 13463. Prime factorization of 67315 in exponential form is:

67315 = 51 × 134631

Now multiplying the highest exponent prime factors to calculate the LCM of 67304 and 67315.

LCM(67304,67315) = 23 × 471 × 1791 × 51 × 134631
LCM(67304,67315) = 4530568760