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What is the Least Common Multiple of 79243 and 79263?

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 79263 is 6281037909.

LCM(79243,79263) = 6281037909

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Least Common Multiple of 79243 and 79263 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 79263, than apply into the LCM equation.

GCF(79243,79263) = 1
LCM(79243,79263) = ( 79243 × 79263) / 1
LCM(79243,79263) = 6281037909 / 1
LCM(79243,79263) = 6281037909

Least Common Multiple (LCM) of 79243 and 79263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79243 and 79263. First we will calculate the prime factors of 79243 and 79263.

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 79263

Prime factors of 79263 are 3, 8807. Prime factorization of 79263 in exponential form is:

79263 = 32 × 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 79243 and 79263.

LCM(79243,79263) = 1091 × 7271 × 32 × 88071
LCM(79243,79263) = 6281037909