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What is the Least Common Multiple of 92084 and 92092?

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 92084 and 92092 is 2120049932.

LCM(92084,92092) = 2120049932

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Least Common Multiple of 92084 and 92092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92084 and 92092, than apply into the LCM equation.

GCF(92084,92092) = 4
LCM(92084,92092) = ( 92084 × 92092) / 4
LCM(92084,92092) = 8480199728 / 4
LCM(92084,92092) = 2120049932

Least Common Multiple (LCM) of 92084 and 92092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92084 and 92092. First we will calculate the prime factors of 92084 and 92092.

Prime Factorization of 92084

Prime factors of 92084 are 2, 23021. Prime factorization of 92084 in exponential form is:

92084 = 22 × 230211

Prime Factorization of 92092

Prime factors of 92092 are 2, 7, 11, 13, 23. Prime factorization of 92092 in exponential form is:

92092 = 22 × 71 × 111 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 92084 and 92092.

LCM(92084,92092) = 22 × 230211 × 71 × 111 × 131 × 231
LCM(92084,92092) = 2120049932