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What is the Least Common Multiple of 79699 and 79713?

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 79699 and 79713 is 6353046387.

LCM(79699,79713) = 6353046387

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Least Common Multiple of 79699 and 79713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79699 and 79713, than apply into the LCM equation.

GCF(79699,79713) = 1
LCM(79699,79713) = ( 79699 × 79713) / 1
LCM(79699,79713) = 6353046387 / 1
LCM(79699,79713) = 6353046387

Least Common Multiple (LCM) of 79699 and 79713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79699 and 79713. First we will calculate the prime factors of 79699 and 79713.

Prime Factorization of 79699

Prime factors of 79699 are 79699. Prime factorization of 79699 in exponential form is:

79699 = 796991

Prime Factorization of 79713

Prime factors of 79713 are 3, 17, 521. Prime factorization of 79713 in exponential form is:

79713 = 32 × 171 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 79699 and 79713.

LCM(79699,79713) = 796991 × 32 × 171 × 5211
LCM(79699,79713) = 6353046387