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What is the Least Common Multiple of 67609 and 67614?

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 67609 and 67614 is 4571314926.

LCM(67609,67614) = 4571314926

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Least Common Multiple of 67609 and 67614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67609 and 67614, than apply into the LCM equation.

GCF(67609,67614) = 1
LCM(67609,67614) = ( 67609 × 67614) / 1
LCM(67609,67614) = 4571314926 / 1
LCM(67609,67614) = 4571314926

Least Common Multiple (LCM) of 67609 and 67614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67609 and 67614. First we will calculate the prime factors of 67609 and 67614.

Prime Factorization of 67609

Prime factors of 67609 are 17, 41, 97. Prime factorization of 67609 in exponential form is:

67609 = 171 × 411 × 971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67609 and 67614.

LCM(67609,67614) = 171 × 411 × 971 × 21 × 31 × 591 × 1911
LCM(67609,67614) = 4571314926