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What is the Least Common Multiple of 3914 and 3920?

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 3914 and 3920 is 7671440.

LCM(3914,3920) = 7671440

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Least Common Multiple of 3914 and 3920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3914 and 3920, than apply into the LCM equation.

GCF(3914,3920) = 2
LCM(3914,3920) = ( 3914 × 3920) / 2
LCM(3914,3920) = 15342880 / 2
LCM(3914,3920) = 7671440

Least Common Multiple (LCM) of 3914 and 3920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3914 and 3920. First we will calculate the prime factors of 3914 and 3920.

Prime Factorization of 3914

Prime factors of 3914 are 2, 19, 103. Prime factorization of 3914 in exponential form is:

3914 = 21 × 191 × 1031

Prime Factorization of 3920

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

3920 = 24 × 51 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 3914 and 3920.

LCM(3914,3920) = 24 × 191 × 1031 × 51 × 72
LCM(3914,3920) = 7671440