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What is the Least Common Multiple of 92360 and 92378?

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 92360 and 92378 is 4266016040.

LCM(92360,92378) = 4266016040

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Least Common Multiple of 92360 and 92378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92360 and 92378, than apply into the LCM equation.

GCF(92360,92378) = 2
LCM(92360,92378) = ( 92360 × 92378) / 2
LCM(92360,92378) = 8532032080 / 2
LCM(92360,92378) = 4266016040

Least Common Multiple (LCM) of 92360 and 92378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92360 and 92378. First we will calculate the prime factors of 92360 and 92378.

Prime Factorization of 92360

Prime factors of 92360 are 2, 5, 2309. Prime factorization of 92360 in exponential form is:

92360 = 23 × 51 × 23091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 92360 and 92378.

LCM(92360,92378) = 23 × 51 × 23091 × 111 × 131 × 171 × 191
LCM(92360,92378) = 4266016040