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What is the Least Common Multiple of 88277 and 88285?

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 88277 and 88285 is 7793534945.

LCM(88277,88285) = 7793534945

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Least Common Multiple of 88277 and 88285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88277 and 88285, than apply into the LCM equation.

GCF(88277,88285) = 1
LCM(88277,88285) = ( 88277 × 88285) / 1
LCM(88277,88285) = 7793534945 / 1
LCM(88277,88285) = 7793534945

Least Common Multiple (LCM) of 88277 and 88285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88277 and 88285. First we will calculate the prime factors of 88277 and 88285.

Prime Factorization of 88277

Prime factors of 88277 are 7, 12611. Prime factorization of 88277 in exponential form is:

88277 = 71 × 126111

Prime Factorization of 88285

Prime factors of 88285 are 5, 17657. Prime factorization of 88285 in exponential form is:

88285 = 51 × 176571

Now multiplying the highest exponent prime factors to calculate the LCM of 88277 and 88285.

LCM(88277,88285) = 71 × 126111 × 51 × 176571
LCM(88277,88285) = 7793534945