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What is the Least Common Multiple of 93092 and 93112?

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 93092 and 93112 is 2166995576.

LCM(93092,93112) = 2166995576

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Least Common Multiple of 93092 and 93112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93092 and 93112, than apply into the LCM equation.

GCF(93092,93112) = 4
LCM(93092,93112) = ( 93092 × 93112) / 4
LCM(93092,93112) = 8667982304 / 4
LCM(93092,93112) = 2166995576

Least Common Multiple (LCM) of 93092 and 93112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93092 and 93112. First we will calculate the prime factors of 93092 and 93112.

Prime Factorization of 93092

Prime factors of 93092 are 2, 17, 37. Prime factorization of 93092 in exponential form is:

93092 = 22 × 171 × 372

Prime Factorization of 93112

Prime factors of 93112 are 2, 103, 113. Prime factorization of 93112 in exponential form is:

93112 = 23 × 1031 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 93092 and 93112.

LCM(93092,93112) = 23 × 171 × 372 × 1031 × 1131
LCM(93092,93112) = 2166995576