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What is the Least Common Multiple of 67310 and 67319?

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 67310 and 67319 is 4531241890.

LCM(67310,67319) = 4531241890

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Least Common Multiple of 67310 and 67319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67310 and 67319, than apply into the LCM equation.

GCF(67310,67319) = 1
LCM(67310,67319) = ( 67310 × 67319) / 1
LCM(67310,67319) = 4531241890 / 1
LCM(67310,67319) = 4531241890

Least Common Multiple (LCM) of 67310 and 67319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67310 and 67319. First we will calculate the prime factors of 67310 and 67319.

Prime Factorization of 67310

Prime factors of 67310 are 2, 5, 53, 127. Prime factorization of 67310 in exponential form is:

67310 = 21 × 51 × 531 × 1271

Prime Factorization of 67319

Prime factors of 67319 are 7, 59, 163. Prime factorization of 67319 in exponential form is:

67319 = 71 × 591 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 67310 and 67319.

LCM(67310,67319) = 21 × 51 × 531 × 1271 × 71 × 591 × 1631
LCM(67310,67319) = 4531241890