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What is the Least Common Multiple of 79037 and 79048?

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 79037 and 79048 is 6247716776.

LCM(79037,79048) = 6247716776

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Least Common Multiple of 79037 and 79048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79037 and 79048, than apply into the LCM equation.

GCF(79037,79048) = 1
LCM(79037,79048) = ( 79037 × 79048) / 1
LCM(79037,79048) = 6247716776 / 1
LCM(79037,79048) = 6247716776

Least Common Multiple (LCM) of 79037 and 79048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79037 and 79048. First we will calculate the prime factors of 79037 and 79048.

Prime Factorization of 79037

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

79037 = 72 × 16131

Prime Factorization of 79048

Prime factors of 79048 are 2, 41, 241. Prime factorization of 79048 in exponential form is:

79048 = 23 × 411 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 79037 and 79048.

LCM(79037,79048) = 72 × 16131 × 23 × 411 × 2411
LCM(79037,79048) = 6247716776