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What is the Least Common Multiple of 88485 and 88489?

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 88485 and 88489 is 7829949165.

LCM(88485,88489) = 7829949165

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Least Common Multiple of 88485 and 88489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88485 and 88489, than apply into the LCM equation.

GCF(88485,88489) = 1
LCM(88485,88489) = ( 88485 × 88489) / 1
LCM(88485,88489) = 7829949165 / 1
LCM(88485,88489) = 7829949165

Least Common Multiple (LCM) of 88485 and 88489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88485 and 88489. First we will calculate the prime factors of 88485 and 88489.

Prime Factorization of 88485

Prime factors of 88485 are 3, 5, 17, 347. Prime factorization of 88485 in exponential form is:

88485 = 31 × 51 × 171 × 3471

Prime Factorization of 88489

Prime factors of 88489 are 107, 827. Prime factorization of 88489 in exponential form is:

88489 = 1071 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 88485 and 88489.

LCM(88485,88489) = 31 × 51 × 171 × 3471 × 1071 × 8271
LCM(88485,88489) = 7829949165