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What is the Least Common Multiple of 88143 and 88151?

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 88143 and 88151 is 7769893593.

LCM(88143,88151) = 7769893593

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Least Common Multiple of 88143 and 88151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88143 and 88151, than apply into the LCM equation.

GCF(88143,88151) = 1
LCM(88143,88151) = ( 88143 × 88151) / 1
LCM(88143,88151) = 7769893593 / 1
LCM(88143,88151) = 7769893593

Least Common Multiple (LCM) of 88143 and 88151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88143 and 88151. First we will calculate the prime factors of 88143 and 88151.

Prime Factorization of 88143

Prime factors of 88143 are 3, 11, 2671. Prime factorization of 88143 in exponential form is:

88143 = 31 × 111 × 26711

Prime Factorization of 88151

Prime factors of 88151 are 7, 257. Prime factorization of 88151 in exponential form is:

88151 = 73 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 88143 and 88151.

LCM(88143,88151) = 31 × 111 × 26711 × 73 × 2571
LCM(88143,88151) = 7769893593