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What is the Least Common Multiple of 79603 and 79620?

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 79603 and 79620 is 6337990860.

LCM(79603,79620) = 6337990860

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Least Common Multiple of 79603 and 79620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79603 and 79620, than apply into the LCM equation.

GCF(79603,79620) = 1
LCM(79603,79620) = ( 79603 × 79620) / 1
LCM(79603,79620) = 6337990860 / 1
LCM(79603,79620) = 6337990860

Least Common Multiple (LCM) of 79603 and 79620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79603 and 79620. First we will calculate the prime factors of 79603 and 79620.

Prime Factorization of 79603

Prime factors of 79603 are 23, 3461. Prime factorization of 79603 in exponential form is:

79603 = 231 × 34611

Prime Factorization of 79620

Prime factors of 79620 are 2, 3, 5, 1327. Prime factorization of 79620 in exponential form is:

79620 = 22 × 31 × 51 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 79603 and 79620.

LCM(79603,79620) = 231 × 34611 × 22 × 31 × 51 × 13271
LCM(79603,79620) = 6337990860