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What is the Least Common Multiple of 67934 and 67942?

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 67934 and 67942 is 2307785914.

LCM(67934,67942) = 2307785914

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Least Common Multiple of 67934 and 67942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67934 and 67942, than apply into the LCM equation.

GCF(67934,67942) = 2
LCM(67934,67942) = ( 67934 × 67942) / 2
LCM(67934,67942) = 4615571828 / 2
LCM(67934,67942) = 2307785914

Least Common Multiple (LCM) of 67934 and 67942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67934 and 67942. First we will calculate the prime factors of 67934 and 67942.

Prime Factorization of 67934

Prime factors of 67934 are 2, 33967. Prime factorization of 67934 in exponential form is:

67934 = 21 × 339671

Prime Factorization of 67942

Prime factors of 67942 are 2, 7, 23, 211. Prime factorization of 67942 in exponential form is:

67942 = 21 × 71 × 231 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 67934 and 67942.

LCM(67934,67942) = 21 × 339671 × 71 × 231 × 2111
LCM(67934,67942) = 2307785914