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What is the Least Common Multiple of 40974 and 40978?

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 40974 and 40978 is 839516286.

LCM(40974,40978) = 839516286

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Least Common Multiple of 40974 and 40978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40974 and 40978, than apply into the LCM equation.

GCF(40974,40978) = 2
LCM(40974,40978) = ( 40974 × 40978) / 2
LCM(40974,40978) = 1679032572 / 2
LCM(40974,40978) = 839516286

Least Common Multiple (LCM) of 40974 and 40978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40974 and 40978. First we will calculate the prime factors of 40974 and 40978.

Prime Factorization of 40974

Prime factors of 40974 are 2, 3, 6829. Prime factorization of 40974 in exponential form is:

40974 = 21 × 31 × 68291

Prime Factorization of 40978

Prime factors of 40978 are 2, 7, 2927. Prime factorization of 40978 in exponential form is:

40978 = 21 × 71 × 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 40974 and 40978.

LCM(40974,40978) = 21 × 31 × 68291 × 71 × 29271
LCM(40974,40978) = 839516286