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What is the Least Common Multiple of 67940 and 67946?

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 67940 and 67946 is 2308125620.

LCM(67940,67946) = 2308125620

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Least Common Multiple of 67940 and 67946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67940 and 67946, than apply into the LCM equation.

GCF(67940,67946) = 2
LCM(67940,67946) = ( 67940 × 67946) / 2
LCM(67940,67946) = 4616251240 / 2
LCM(67940,67946) = 2308125620

Least Common Multiple (LCM) of 67940 and 67946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67940 and 67946. First we will calculate the prime factors of 67940 and 67946.

Prime Factorization of 67940

Prime factors of 67940 are 2, 5, 43, 79. Prime factorization of 67940 in exponential form is:

67940 = 22 × 51 × 431 × 791

Prime Factorization of 67946

Prime factors of 67946 are 2, 53, 641. Prime factorization of 67946 in exponential form is:

67946 = 21 × 531 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 67940 and 67946.

LCM(67940,67946) = 22 × 51 × 431 × 791 × 531 × 6411
LCM(67940,67946) = 2308125620