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What is the Least Common Multiple of 92070 and 92083?

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 92070 and 92083 is 8478081810.

LCM(92070,92083) = 8478081810

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Least Common Multiple of 92070 and 92083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92070 and 92083, than apply into the LCM equation.

GCF(92070,92083) = 1
LCM(92070,92083) = ( 92070 × 92083) / 1
LCM(92070,92083) = 8478081810 / 1
LCM(92070,92083) = 8478081810

Least Common Multiple (LCM) of 92070 and 92083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92070 and 92083. First we will calculate the prime factors of 92070 and 92083.

Prime Factorization of 92070

Prime factors of 92070 are 2, 3, 5, 11, 31. Prime factorization of 92070 in exponential form is:

92070 = 21 × 33 × 51 × 111 × 311

Prime Factorization of 92083

Prime factors of 92083 are 92083. Prime factorization of 92083 in exponential form is:

92083 = 920831

Now multiplying the highest exponent prime factors to calculate the LCM of 92070 and 92083.

LCM(92070,92083) = 21 × 33 × 51 × 111 × 311 × 920831
LCM(92070,92083) = 8478081810