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What is the Least Common Multiple of 95528 and 95543?

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 95543 is 9127031704.

LCM(95528,95543) = 9127031704

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Least Common Multiple of 95528 and 95543 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 95543, than apply into the LCM equation.

GCF(95528,95543) = 1
LCM(95528,95543) = ( 95528 × 95543) / 1
LCM(95528,95543) = 9127031704 / 1
LCM(95528,95543) = 9127031704

Least Common Multiple (LCM) of 95528 and 95543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95528 and 95543. First we will calculate the prime factors of 95528 and 95543.

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 95543

Prime factors of 95543 are 7, 13649. Prime factorization of 95543 in exponential form is:

95543 = 71 × 136491

Now multiplying the highest exponent prime factors to calculate the LCM of 95528 and 95543.

LCM(95528,95543) = 23 × 119411 × 71 × 136491
LCM(95528,95543) = 9127031704