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What is the Least Common Multiple of 88549 and 88559?

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 88549 and 88559 is 7841810891.

LCM(88549,88559) = 7841810891

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Least Common Multiple of 88549 and 88559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88549 and 88559, than apply into the LCM equation.

GCF(88549,88559) = 1
LCM(88549,88559) = ( 88549 × 88559) / 1
LCM(88549,88559) = 7841810891 / 1
LCM(88549,88559) = 7841810891

Least Common Multiple (LCM) of 88549 and 88559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88549 and 88559. First we will calculate the prime factors of 88549 and 88559.

Prime Factorization of 88549

Prime factors of 88549 are 73, 1213. Prime factorization of 88549 in exponential form is:

88549 = 731 × 12131

Prime Factorization of 88559

Prime factors of 88559 are 19, 59, 79. Prime factorization of 88559 in exponential form is:

88559 = 191 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 88549 and 88559.

LCM(88549,88559) = 731 × 12131 × 191 × 591 × 791
LCM(88549,88559) = 7841810891