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What is the Least Common Multiple of 79243 and 79251?

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 79243 and 79251 is 6280086993.

LCM(79243,79251) = 6280086993

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Least Common Multiple of 79243 and 79251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79243 and 79251, than apply into the LCM equation.

GCF(79243,79251) = 1
LCM(79243,79251) = ( 79243 × 79251) / 1
LCM(79243,79251) = 6280086993 / 1
LCM(79243,79251) = 6280086993

Least Common Multiple (LCM) of 79243 and 79251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79243 and 79251. First we will calculate the prime factors of 79243 and 79251.

Prime Factorization of 79243

Prime factors of 79243 are 109, 727. Prime factorization of 79243 in exponential form is:

79243 = 1091 × 7271

Prime Factorization of 79251

Prime factors of 79251 are 3, 26417. Prime factorization of 79251 in exponential form is:

79251 = 31 × 264171

Now multiplying the highest exponent prime factors to calculate the LCM of 79243 and 79251.

LCM(79243,79251) = 1091 × 7271 × 31 × 264171
LCM(79243,79251) = 6280086993