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What is the Least Common Multiple of 95433 and 95440?

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 95433 and 95440 is 9108125520.

LCM(95433,95440) = 9108125520

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Least Common Multiple of 95433 and 95440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95433 and 95440, than apply into the LCM equation.

GCF(95433,95440) = 1
LCM(95433,95440) = ( 95433 × 95440) / 1
LCM(95433,95440) = 9108125520 / 1
LCM(95433,95440) = 9108125520

Least Common Multiple (LCM) of 95433 and 95440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95433 and 95440. First we will calculate the prime factors of 95433 and 95440.

Prime Factorization of 95433

Prime factors of 95433 are 3, 13, 2447. Prime factorization of 95433 in exponential form is:

95433 = 31 × 131 × 24471

Prime Factorization of 95440

Prime factors of 95440 are 2, 5, 1193. Prime factorization of 95440 in exponential form is:

95440 = 24 × 51 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 95433 and 95440.

LCM(95433,95440) = 31 × 131 × 24471 × 24 × 51 × 11931
LCM(95433,95440) = 9108125520