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What is the Least Common Multiple of 88127 and 88144?

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 88127 and 88144 is 7767866288.

LCM(88127,88144) = 7767866288

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Least Common Multiple of 88127 and 88144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88127 and 88144, than apply into the LCM equation.

GCF(88127,88144) = 1
LCM(88127,88144) = ( 88127 × 88144) / 1
LCM(88127,88144) = 7767866288 / 1
LCM(88127,88144) = 7767866288

Least Common Multiple (LCM) of 88127 and 88144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88127 and 88144. First we will calculate the prime factors of 88127 and 88144.

Prime Factorization of 88127

Prime factors of 88127 are 13, 6779. Prime factorization of 88127 in exponential form is:

88127 = 131 × 67791

Prime Factorization of 88144

Prime factors of 88144 are 2, 7, 787. Prime factorization of 88144 in exponential form is:

88144 = 24 × 71 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 88127 and 88144.

LCM(88127,88144) = 131 × 67791 × 24 × 71 × 7871
LCM(88127,88144) = 7767866288