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What is the Least Common Multiple of 88219 and 88232?

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 88219 and 88232 is 7783738808.

LCM(88219,88232) = 7783738808

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Least Common Multiple of 88219 and 88232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88219 and 88232, than apply into the LCM equation.

GCF(88219,88232) = 1
LCM(88219,88232) = ( 88219 × 88232) / 1
LCM(88219,88232) = 7783738808 / 1
LCM(88219,88232) = 7783738808

Least Common Multiple (LCM) of 88219 and 88232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88219 and 88232. First we will calculate the prime factors of 88219 and 88232.

Prime Factorization of 88219

Prime factors of 88219 are 47, 1877. Prime factorization of 88219 in exponential form is:

88219 = 471 × 18771

Prime Factorization of 88232

Prime factors of 88232 are 2, 41, 269. Prime factorization of 88232 in exponential form is:

88232 = 23 × 411 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 88219 and 88232.

LCM(88219,88232) = 471 × 18771 × 23 × 411 × 2691
LCM(88219,88232) = 7783738808