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What is the Least Common Multiple of 87263 and 87273?

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 87263 and 87273 is 7615703799.

LCM(87263,87273) = 7615703799

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Least Common Multiple of 87263 and 87273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87263 and 87273, than apply into the LCM equation.

GCF(87263,87273) = 1
LCM(87263,87273) = ( 87263 × 87273) / 1
LCM(87263,87273) = 7615703799 / 1
LCM(87263,87273) = 7615703799

Least Common Multiple (LCM) of 87263 and 87273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87263 and 87273. First we will calculate the prime factors of 87263 and 87273.

Prime Factorization of 87263

Prime factors of 87263 are 11, 7933. Prime factorization of 87263 in exponential form is:

87263 = 111 × 79331

Prime Factorization of 87273

Prime factors of 87273 are 3, 9697. Prime factorization of 87273 in exponential form is:

87273 = 32 × 96971

Now multiplying the highest exponent prime factors to calculate the LCM of 87263 and 87273.

LCM(87263,87273) = 111 × 79331 × 32 × 96971
LCM(87263,87273) = 7615703799