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What is the Least Common Multiple of 95379 and 95384?

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 95379 and 95384 is 9097630536.

LCM(95379,95384) = 9097630536

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Least Common Multiple of 95379 and 95384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95379 and 95384, than apply into the LCM equation.

GCF(95379,95384) = 1
LCM(95379,95384) = ( 95379 × 95384) / 1
LCM(95379,95384) = 9097630536 / 1
LCM(95379,95384) = 9097630536

Least Common Multiple (LCM) of 95379 and 95384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95379 and 95384. First we will calculate the prime factors of 95379 and 95384.

Prime Factorization of 95379

Prime factors of 95379 are 3, 31793. Prime factorization of 95379 in exponential form is:

95379 = 31 × 317931

Prime Factorization of 95384

Prime factors of 95384 are 2, 11923. Prime factorization of 95384 in exponential form is:

95384 = 23 × 119231

Now multiplying the highest exponent prime factors to calculate the LCM of 95379 and 95384.

LCM(95379,95384) = 31 × 317931 × 23 × 119231
LCM(95379,95384) = 9097630536