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What is the Least Common Multiple of 92378 and 92386?

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 92378 and 92386 is 4267216954.

LCM(92378,92386) = 4267216954

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Least Common Multiple of 92378 and 92386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92378 and 92386, than apply into the LCM equation.

GCF(92378,92386) = 2
LCM(92378,92386) = ( 92378 × 92386) / 2
LCM(92378,92386) = 8534433908 / 2
LCM(92378,92386) = 4267216954

Least Common Multiple (LCM) of 92378 and 92386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92378 and 92386. First we will calculate the prime factors of 92378 and 92386.

Prime Factorization of 92378

Prime factors of 92378 are 2, 11, 13, 17, 19. Prime factorization of 92378 in exponential form is:

92378 = 21 × 111 × 131 × 171 × 191

Prime Factorization of 92386

Prime factors of 92386 are 2, 7, 6599. Prime factorization of 92386 in exponential form is:

92386 = 21 × 71 × 65991

Now multiplying the highest exponent prime factors to calculate the LCM of 92378 and 92386.

LCM(92378,92386) = 21 × 111 × 131 × 171 × 191 × 71 × 65991
LCM(92378,92386) = 4267216954