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What is the Least Common Multiple of 91986 and 92000?

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 91986 and 92000 is 4231356000.

LCM(91986,92000) = 4231356000

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Least Common Multiple of 91986 and 92000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91986 and 92000, than apply into the LCM equation.

GCF(91986,92000) = 2
LCM(91986,92000) = ( 91986 × 92000) / 2
LCM(91986,92000) = 8462712000 / 2
LCM(91986,92000) = 4231356000

Least Common Multiple (LCM) of 91986 and 92000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91986 and 92000. First we will calculate the prime factors of 91986 and 92000.

Prime Factorization of 91986

Prime factors of 91986 are 2, 3, 15331. Prime factorization of 91986 in exponential form is:

91986 = 21 × 31 × 153311

Prime Factorization of 92000

Prime factors of 92000 are 2, 5, 23. Prime factorization of 92000 in exponential form is:

92000 = 25 × 53 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 91986 and 92000.

LCM(91986,92000) = 25 × 31 × 153311 × 53 × 231
LCM(91986,92000) = 4231356000