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What is the Least Common Multiple of 88121 and 88137?

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 88121 and 88137 is 7766720577.

LCM(88121,88137) = 7766720577

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Least Common Multiple of 88121 and 88137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88121 and 88137, than apply into the LCM equation.

GCF(88121,88137) = 1
LCM(88121,88137) = ( 88121 × 88137) / 1
LCM(88121,88137) = 7766720577 / 1
LCM(88121,88137) = 7766720577

Least Common Multiple (LCM) of 88121 and 88137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88121 and 88137. First we will calculate the prime factors of 88121 and 88137.

Prime Factorization of 88121

Prime factors of 88121 are 11, 8011. Prime factorization of 88121 in exponential form is:

88121 = 111 × 80111

Prime Factorization of 88137

Prime factors of 88137 are 3, 7, 1399. Prime factorization of 88137 in exponential form is:

88137 = 32 × 71 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 88121 and 88137.

LCM(88121,88137) = 111 × 80111 × 32 × 71 × 13991
LCM(88121,88137) = 7766720577