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What is the Least Common Multiple of 95562 and 95573?

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 95562 and 95573 is 9133147026.

LCM(95562,95573) = 9133147026

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Least Common Multiple of 95562 and 95573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95562 and 95573, than apply into the LCM equation.

GCF(95562,95573) = 1
LCM(95562,95573) = ( 95562 × 95573) / 1
LCM(95562,95573) = 9133147026 / 1
LCM(95562,95573) = 9133147026

Least Common Multiple (LCM) of 95562 and 95573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95562 and 95573. First we will calculate the prime factors of 95562 and 95573.

Prime Factorization of 95562

Prime factors of 95562 are 2, 3, 5309. Prime factorization of 95562 in exponential form is:

95562 = 21 × 32 × 53091

Prime Factorization of 95573

Prime factors of 95573 are 31, 3083. Prime factorization of 95573 in exponential form is:

95573 = 311 × 30831

Now multiplying the highest exponent prime factors to calculate the LCM of 95562 and 95573.

LCM(95562,95573) = 21 × 32 × 53091 × 311 × 30831
LCM(95562,95573) = 9133147026