What is the Least Common Multiple of 79466 and 79486?
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 79466 and 79486 is 3158217238.
LCM(79466,79486) = 3158217238
Least Common Multiple of 79466 and 79486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79466 and 79486, than apply into the LCM equation.
GCF(79466,79486) = 2
LCM(79466,79486) = ( 79466 × 79486) / 2
LCM(79466,79486) = 6316434476 / 2
LCM(79466,79486) = 3158217238
Least Common Multiple (LCM) of 79466 and 79486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79466 and 79486. First we will calculate the prime factors of 79466 and 79486.
Prime Factorization of 79466
Prime factors of 79466 are 2, 39733. Prime factorization of 79466 in exponential form is:
79466 = 21 × 397331
Prime Factorization of 79486
Prime factors of 79486 are 2, 11, 3613. Prime factorization of 79486 in exponential form is:
79486 = 21 × 111 × 36131
Now multiplying the highest exponent prime factors to calculate the LCM of 79466 and 79486.
LCM(79466,79486) = 21 × 397331 × 111 × 36131
LCM(79466,79486) = 3158217238
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