What is the Least Common Multiple of 80266 and 80283?
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 80266 and 80283 is 6443995278.
LCM(80266,80283) = 6443995278
Least Common Multiple of 80266 and 80283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80266 and 80283, than apply into the LCM equation.
GCF(80266,80283) = 1
LCM(80266,80283) = ( 80266 × 80283) / 1
LCM(80266,80283) = 6443995278 / 1
LCM(80266,80283) = 6443995278
Least Common Multiple (LCM) of 80266 and 80283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80266 and 80283. First we will calculate the prime factors of 80266 and 80283.
Prime Factorization of 80266
Prime factors of 80266 are 2, 67, 599. Prime factorization of 80266 in exponential form is:
80266 = 21 × 671 × 5991
Prime Factorization of 80283
Prime factors of 80283 are 3, 7, 3823. Prime factorization of 80283 in exponential form is:
80283 = 31 × 71 × 38231
Now multiplying the highest exponent prime factors to calculate the LCM of 80266 and 80283.
LCM(80266,80283) = 21 × 671 × 5991 × 31 × 71 × 38231
LCM(80266,80283) = 6443995278
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