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What is the Least Common Multiple of 79033 and 79037?

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 79037 is 6246531221.

LCM(79033,79037) = 6246531221

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Least Common Multiple of 79033 and 79037 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 79037, than apply into the LCM equation.

GCF(79033,79037) = 1
LCM(79033,79037) = ( 79033 × 79037) / 1
LCM(79033,79037) = 6246531221 / 1
LCM(79033,79037) = 6246531221

Least Common Multiple (LCM) of 79033 and 79037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79033 and 79037. First we will calculate the prime factors of 79033 and 79037.

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 79037

Prime factors of 79037 are 7, 1613. Prime factorization of 79037 in exponential form is:

79037 = 72 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 79033 and 79037.

LCM(79033,79037) = 171 × 46491 × 72 × 16131
LCM(79033,79037) = 6246531221