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What is the Least Common Multiple of 67614 and 67623?

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 67614 and 67623 is 1524087174.

LCM(67614,67623) = 1524087174

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Least Common Multiple of 67614 and 67623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67614 and 67623, than apply into the LCM equation.

GCF(67614,67623) = 3
LCM(67614,67623) = ( 67614 × 67623) / 3
LCM(67614,67623) = 4572261522 / 3
LCM(67614,67623) = 1524087174

Least Common Multiple (LCM) of 67614 and 67623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67614 and 67623. First we will calculate the prime factors of 67614 and 67623.

Prime Factorization of 67614

Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:

67614 = 21 × 31 × 591 × 1911

Prime Factorization of 67623

Prime factors of 67623 are 3, 22541. Prime factorization of 67623 in exponential form is:

67623 = 31 × 225411

Now multiplying the highest exponent prime factors to calculate the LCM of 67614 and 67623.

LCM(67614,67623) = 21 × 31 × 591 × 1911 × 225411
LCM(67614,67623) = 1524087174