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What is the Least Common Multiple of 79033 and 79053?

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 79033 and 79053 is 6247795749.

LCM(79033,79053) = 6247795749

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Least Common Multiple of 79033 and 79053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79033 and 79053, than apply into the LCM equation.

GCF(79033,79053) = 1
LCM(79033,79053) = ( 79033 × 79053) / 1
LCM(79033,79053) = 6247795749 / 1
LCM(79033,79053) = 6247795749

Least Common Multiple (LCM) of 79033 and 79053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79033 and 79053. First we will calculate the prime factors of 79033 and 79053.

Prime Factorization of 79033

Prime factors of 79033 are 17, 4649. Prime factorization of 79033 in exponential form is:

79033 = 171 × 46491

Prime Factorization of 79053

Prime factors of 79053 are 3, 13, 2027. Prime factorization of 79053 in exponential form is:

79053 = 31 × 131 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 79033 and 79053.

LCM(79033,79053) = 171 × 46491 × 31 × 131 × 20271
LCM(79033,79053) = 6247795749