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What is the Least Common Multiple of 79463 and 79479?

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 79463 and 79479 is 6315639777.

LCM(79463,79479) = 6315639777

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Least Common Multiple of 79463 and 79479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79463 and 79479, than apply into the LCM equation.

GCF(79463,79479) = 1
LCM(79463,79479) = ( 79463 × 79479) / 1
LCM(79463,79479) = 6315639777 / 1
LCM(79463,79479) = 6315639777

Least Common Multiple (LCM) of 79463 and 79479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79463 and 79479. First we will calculate the prime factors of 79463 and 79479.

Prime Factorization of 79463

Prime factors of 79463 are 229, 347. Prime factorization of 79463 in exponential form is:

79463 = 2291 × 3471

Prime Factorization of 79479

Prime factors of 79479 are 3, 8831. Prime factorization of 79479 in exponential form is:

79479 = 32 × 88311

Now multiplying the highest exponent prime factors to calculate the LCM of 79463 and 79479.

LCM(79463,79479) = 2291 × 3471 × 32 × 88311
LCM(79463,79479) = 6315639777