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What is the Least Common Multiple of 79495 and 79501?

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 79495 and 79501 is 6319931995.

LCM(79495,79501) = 6319931995

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Least Common Multiple of 79495 and 79501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79495 and 79501, than apply into the LCM equation.

GCF(79495,79501) = 1
LCM(79495,79501) = ( 79495 × 79501) / 1
LCM(79495,79501) = 6319931995 / 1
LCM(79495,79501) = 6319931995

Least Common Multiple (LCM) of 79495 and 79501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79495 and 79501. First we will calculate the prime factors of 79495 and 79501.

Prime Factorization of 79495

Prime factors of 79495 are 5, 13, 1223. Prime factorization of 79495 in exponential form is:

79495 = 51 × 131 × 12231

Prime Factorization of 79501

Prime factors of 79501 are 107, 743. Prime factorization of 79501 in exponential form is:

79501 = 1071 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 79495 and 79501.

LCM(79495,79501) = 51 × 131 × 12231 × 1071 × 7431
LCM(79495,79501) = 6319931995