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What is the Least Common Multiple of 88759 and 88773?

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 88759 and 88773 is 7879402707.

LCM(88759,88773) = 7879402707

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Least Common Multiple of 88759 and 88773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88759 and 88773, than apply into the LCM equation.

GCF(88759,88773) = 1
LCM(88759,88773) = ( 88759 × 88773) / 1
LCM(88759,88773) = 7879402707 / 1
LCM(88759,88773) = 7879402707

Least Common Multiple (LCM) of 88759 and 88773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88759 and 88773. First we will calculate the prime factors of 88759 and 88773.

Prime Factorization of 88759

Prime factors of 88759 are 11, 8069. Prime factorization of 88759 in exponential form is:

88759 = 111 × 80691

Prime Factorization of 88773

Prime factors of 88773 are 3, 127, 233. Prime factorization of 88773 in exponential form is:

88773 = 31 × 1271 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 88759 and 88773.

LCM(88759,88773) = 111 × 80691 × 31 × 1271 × 2331
LCM(88759,88773) = 7879402707