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What is the Least Common Multiple of 92966 and 92978?

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 92966 and 92978 is 4321896374.

LCM(92966,92978) = 4321896374

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Least Common Multiple of 92966 and 92978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92966 and 92978, than apply into the LCM equation.

GCF(92966,92978) = 2
LCM(92966,92978) = ( 92966 × 92978) / 2
LCM(92966,92978) = 8643792748 / 2
LCM(92966,92978) = 4321896374

Least Common Multiple (LCM) of 92966 and 92978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92966 and 92978. First we will calculate the prime factors of 92966 and 92978.

Prime Factorization of 92966

Prime factors of 92966 are 2, 23, 43, 47. Prime factorization of 92966 in exponential form is:

92966 = 21 × 231 × 431 × 471

Prime Factorization of 92978

Prime factors of 92978 are 2, 46489. Prime factorization of 92978 in exponential form is:

92978 = 21 × 464891

Now multiplying the highest exponent prime factors to calculate the LCM of 92966 and 92978.

LCM(92966,92978) = 21 × 231 × 431 × 471 × 464891
LCM(92966,92978) = 4321896374