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What is the Least Common Multiple of 88263 and 88277?

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 88263 and 88277 is 1113084693.

LCM(88263,88277) = 1113084693

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Least Common Multiple of 88263 and 88277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88263 and 88277, than apply into the LCM equation.

GCF(88263,88277) = 7
LCM(88263,88277) = ( 88263 × 88277) / 7
LCM(88263,88277) = 7791592851 / 7
LCM(88263,88277) = 1113084693

Least Common Multiple (LCM) of 88263 and 88277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88263 and 88277. First we will calculate the prime factors of 88263 and 88277.

Prime Factorization of 88263

Prime factors of 88263 are 3, 7, 467. Prime factorization of 88263 in exponential form is:

88263 = 33 × 71 × 4671

Prime Factorization of 88277

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

88277 = 71 × 126111

Now multiplying the highest exponent prime factors to calculate the LCM of 88263 and 88277.

LCM(88263,88277) = 33 × 71 × 4671 × 126111
LCM(88263,88277) = 1113084693