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What is the Least Common Multiple of 97479 and 97486?

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 97479 and 97486 is 9502837794.

LCM(97479,97486) = 9502837794

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Least Common Multiple of 97479 and 97486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97479 and 97486, than apply into the LCM equation.

GCF(97479,97486) = 1
LCM(97479,97486) = ( 97479 × 97486) / 1
LCM(97479,97486) = 9502837794 / 1
LCM(97479,97486) = 9502837794

Least Common Multiple (LCM) of 97479 and 97486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97479 and 97486. First we will calculate the prime factors of 97479 and 97486.

Prime Factorization of 97479

Prime factors of 97479 are 3, 10831. Prime factorization of 97479 in exponential form is:

97479 = 32 × 108311

Prime Factorization of 97486

Prime factors of 97486 are 2, 79, 617. Prime factorization of 97486 in exponential form is:

97486 = 21 × 791 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 97479 and 97486.

LCM(97479,97486) = 32 × 108311 × 21 × 791 × 6171
LCM(97479,97486) = 9502837794