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What is the Least Common Multiple of 88283 and 88292?

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 88283 and 88292 is 7794682636.

LCM(88283,88292) = 7794682636

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Least Common Multiple of 88283 and 88292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88283 and 88292, than apply into the LCM equation.

GCF(88283,88292) = 1
LCM(88283,88292) = ( 88283 × 88292) / 1
LCM(88283,88292) = 7794682636 / 1
LCM(88283,88292) = 7794682636

Least Common Multiple (LCM) of 88283 and 88292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88283 and 88292. First we will calculate the prime factors of 88283 and 88292.

Prime Factorization of 88283

Prime factors of 88283 are 13, 6791. Prime factorization of 88283 in exponential form is:

88283 = 131 × 67911

Prime Factorization of 88292

Prime factors of 88292 are 2, 22073. Prime factorization of 88292 in exponential form is:

88292 = 22 × 220731

Now multiplying the highest exponent prime factors to calculate the LCM of 88283 and 88292.

LCM(88283,88292) = 131 × 67911 × 22 × 220731
LCM(88283,88292) = 7794682636