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What is the Least Common Multiple of 3970 and 3978?

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 3970 and 3978 is 7896330.

LCM(3970,3978) = 7896330

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Least Common Multiple of 3970 and 3978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3970 and 3978, than apply into the LCM equation.

GCF(3970,3978) = 2
LCM(3970,3978) = ( 3970 × 3978) / 2
LCM(3970,3978) = 15792660 / 2
LCM(3970,3978) = 7896330

Least Common Multiple (LCM) of 3970 and 3978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3970 and 3978. First we will calculate the prime factors of 3970 and 3978.

Prime Factorization of 3970

Prime factors of 3970 are 2, 5, 397. Prime factorization of 3970 in exponential form is:

3970 = 21 × 51 × 3971

Prime Factorization of 3978

Prime factors of 3978 are 2, 3, 13, 17. Prime factorization of 3978 in exponential form is:

3978 = 21 × 32 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 3970 and 3978.

LCM(3970,3978) = 21 × 51 × 3971 × 32 × 131 × 171
LCM(3970,3978) = 7896330