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What is the Least Common Multiple of 95753 and 95762?

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 95753 and 95762 is 9169498786.

LCM(95753,95762) = 9169498786

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Least Common Multiple of 95753 and 95762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95753 and 95762, than apply into the LCM equation.

GCF(95753,95762) = 1
LCM(95753,95762) = ( 95753 × 95762) / 1
LCM(95753,95762) = 9169498786 / 1
LCM(95753,95762) = 9169498786

Least Common Multiple (LCM) of 95753 and 95762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95753 and 95762. First we will calculate the prime factors of 95753 and 95762.

Prime Factorization of 95753

Prime factors of 95753 are 7, 13679. Prime factorization of 95753 in exponential form is:

95753 = 71 × 136791

Prime Factorization of 95762

Prime factors of 95762 are 2, 47881. Prime factorization of 95762 in exponential form is:

95762 = 21 × 478811

Now multiplying the highest exponent prime factors to calculate the LCM of 95753 and 95762.

LCM(95753,95762) = 71 × 136791 × 21 × 478811
LCM(95753,95762) = 9169498786