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What is the Least Common Multiple of 89154 and 89169?

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 89154 and 89169 is 2649924342.

LCM(89154,89169) = 2649924342

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Least Common Multiple of 89154 and 89169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89154 and 89169, than apply into the LCM equation.

GCF(89154,89169) = 3
LCM(89154,89169) = ( 89154 × 89169) / 3
LCM(89154,89169) = 7949773026 / 3
LCM(89154,89169) = 2649924342

Least Common Multiple (LCM) of 89154 and 89169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89154 and 89169. First we will calculate the prime factors of 89154 and 89169.

Prime Factorization of 89154

Prime factors of 89154 are 2, 3, 13, 127. Prime factorization of 89154 in exponential form is:

89154 = 21 × 33 × 131 × 1271

Prime Factorization of 89169

Prime factors of 89169 are 3, 29723. Prime factorization of 89169 in exponential form is:

89169 = 31 × 297231

Now multiplying the highest exponent prime factors to calculate the LCM of 89154 and 89169.

LCM(89154,89169) = 21 × 33 × 131 × 1271 × 297231
LCM(89154,89169) = 2649924342