What is the Least Common Multiple of 78266 and 78281?
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 78266 and 78281 is 6126740746.
LCM(78266,78281) = 6126740746
Least Common Multiple of 78266 and 78281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78266 and 78281, than apply into the LCM equation.
GCF(78266,78281) = 1
LCM(78266,78281) = ( 78266 × 78281) / 1
LCM(78266,78281) = 6126740746 / 1
LCM(78266,78281) = 6126740746
Least Common Multiple (LCM) of 78266 and 78281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78266 and 78281. First we will calculate the prime factors of 78266 and 78281.
Prime Factorization of 78266
Prime factors of 78266 are 2, 39133. Prime factorization of 78266 in exponential form is:
78266 = 21 × 391331
Prime Factorization of 78281
Prime factors of 78281 are 7, 53, 211. Prime factorization of 78281 in exponential form is:
78281 = 71 × 531 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 78266 and 78281.
LCM(78266,78281) = 21 × 391331 × 71 × 531 × 2111
LCM(78266,78281) = 6126740746
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