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What is the Least Common Multiple of 68369 and 68374?

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 68369 and 68374 is 4674662006.

LCM(68369,68374) = 4674662006

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Least Common Multiple of 68369 and 68374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68369 and 68374, than apply into the LCM equation.

GCF(68369,68374) = 1
LCM(68369,68374) = ( 68369 × 68374) / 1
LCM(68369,68374) = 4674662006 / 1
LCM(68369,68374) = 4674662006

Least Common Multiple (LCM) of 68369 and 68374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68369 and 68374. First we will calculate the prime factors of 68369 and 68374.

Prime Factorization of 68369

Prime factors of 68369 are 7, 9767. Prime factorization of 68369 in exponential form is:

68369 = 71 × 97671

Prime Factorization of 68374

Prime factors of 68374 are 2, 17, 2011. Prime factorization of 68374 in exponential form is:

68374 = 21 × 171 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 68369 and 68374.

LCM(68369,68374) = 71 × 97671 × 21 × 171 × 20111
LCM(68369,68374) = 4674662006