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What is the Least Common Multiple of 88252 and 88261?

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 88252 and 88261 is 7789209772.

LCM(88252,88261) = 7789209772

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Least Common Multiple of 88252 and 88261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88252 and 88261, than apply into the LCM equation.

GCF(88252,88261) = 1
LCM(88252,88261) = ( 88252 × 88261) / 1
LCM(88252,88261) = 7789209772 / 1
LCM(88252,88261) = 7789209772

Least Common Multiple (LCM) of 88252 and 88261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88252 and 88261. First we will calculate the prime factors of 88252 and 88261.

Prime Factorization of 88252

Prime factors of 88252 are 2, 22063. Prime factorization of 88252 in exponential form is:

88252 = 22 × 220631

Prime Factorization of 88261

Prime factors of 88261 are 88261. Prime factorization of 88261 in exponential form is:

88261 = 882611

Now multiplying the highest exponent prime factors to calculate the LCM of 88252 and 88261.

LCM(88252,88261) = 22 × 220631 × 882611
LCM(88252,88261) = 7789209772