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What is the Least Common Multiple of 3926 and 3940?

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 3926 and 3940 is 7734220.

LCM(3926,3940) = 7734220

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Least Common Multiple of 3926 and 3940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3926 and 3940, than apply into the LCM equation.

GCF(3926,3940) = 2
LCM(3926,3940) = ( 3926 × 3940) / 2
LCM(3926,3940) = 15468440 / 2
LCM(3926,3940) = 7734220

Least Common Multiple (LCM) of 3926 and 3940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3926 and 3940. First we will calculate the prime factors of 3926 and 3940.

Prime Factorization of 3926

Prime factors of 3926 are 2, 13, 151. Prime factorization of 3926 in exponential form is:

3926 = 21 × 131 × 1511

Prime Factorization of 3940

Prime factors of 3940 are 2, 5, 197. Prime factorization of 3940 in exponential form is:

3940 = 22 × 51 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 3926 and 3940.

LCM(3926,3940) = 22 × 131 × 1511 × 51 × 1971
LCM(3926,3940) = 7734220