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What is the Least Common Multiple of 95528 and 95534?

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 95528 and 95534 is 4563085976.

LCM(95528,95534) = 4563085976

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Least Common Multiple of 95528 and 95534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95528 and 95534, than apply into the LCM equation.

GCF(95528,95534) = 2
LCM(95528,95534) = ( 95528 × 95534) / 2
LCM(95528,95534) = 9126171952 / 2
LCM(95528,95534) = 4563085976

Least Common Multiple (LCM) of 95528 and 95534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95528 and 95534. First we will calculate the prime factors of 95528 and 95534.

Prime Factorization of 95528

Prime factors of 95528 are 2, 11941. Prime factorization of 95528 in exponential form is:

95528 = 23 × 119411

Prime Factorization of 95534

Prime factors of 95534 are 2, 37, 1291. Prime factorization of 95534 in exponential form is:

95534 = 21 × 371 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 95528 and 95534.

LCM(95528,95534) = 23 × 119411 × 371 × 12911
LCM(95528,95534) = 4563085976