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What is the Least Common Multiple of 88267 and 88274?

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 88267 and 88274 is 7791681158.

LCM(88267,88274) = 7791681158

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Least Common Multiple of 88267 and 88274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88267 and 88274, than apply into the LCM equation.

GCF(88267,88274) = 1
LCM(88267,88274) = ( 88267 × 88274) / 1
LCM(88267,88274) = 7791681158 / 1
LCM(88267,88274) = 7791681158

Least Common Multiple (LCM) of 88267 and 88274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88267 and 88274. First we will calculate the prime factors of 88267 and 88274.

Prime Factorization of 88267

Prime factors of 88267 are 61, 1447. Prime factorization of 88267 in exponential form is:

88267 = 611 × 14471

Prime Factorization of 88274

Prime factors of 88274 are 2, 19, 23, 101. Prime factorization of 88274 in exponential form is:

88274 = 21 × 191 × 231 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 88267 and 88274.

LCM(88267,88274) = 611 × 14471 × 21 × 191 × 231 × 1011
LCM(88267,88274) = 7791681158