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What is the Least Common Multiple of 3920 and 3926?

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 3920 and 3926 is 7694960.

LCM(3920,3926) = 7694960

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Least Common Multiple of 3920 and 3926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3920 and 3926, than apply into the LCM equation.

GCF(3920,3926) = 2
LCM(3920,3926) = ( 3920 × 3926) / 2
LCM(3920,3926) = 15389920 / 2
LCM(3920,3926) = 7694960

Least Common Multiple (LCM) of 3920 and 3926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3920 and 3926. First we will calculate the prime factors of 3920 and 3926.

Prime Factorization of 3920

Prime factors of 3920 are 2, 5, 7. Prime factorization of 3920 in exponential form is:

3920 = 24 × 51 × 72

Prime Factorization of 3926

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

3926 = 21 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3920 and 3926.

LCM(3920,3926) = 24 × 51 × 72 × 131 × 1511
LCM(3920,3926) = 7694960