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What is the Least Common Multiple of 79330 and 79337?

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 79330 and 79337 is 6293804210.

LCM(79330,79337) = 6293804210

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Least Common Multiple of 79330 and 79337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79330 and 79337, than apply into the LCM equation.

GCF(79330,79337) = 1
LCM(79330,79337) = ( 79330 × 79337) / 1
LCM(79330,79337) = 6293804210 / 1
LCM(79330,79337) = 6293804210

Least Common Multiple (LCM) of 79330 and 79337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79330 and 79337. First we will calculate the prime factors of 79330 and 79337.

Prime Factorization of 79330

Prime factors of 79330 are 2, 5, 7933. Prime factorization of 79330 in exponential form is:

79330 = 21 × 51 × 79331

Prime Factorization of 79337

Prime factors of 79337 are 79337. Prime factorization of 79337 in exponential form is:

79337 = 793371

Now multiplying the highest exponent prime factors to calculate the LCM of 79330 and 79337.

LCM(79330,79337) = 21 × 51 × 79331 × 793371
LCM(79330,79337) = 6293804210