What is the Least Common Multiple of 67477 and 67486?
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 67477 and 67486 is 4553752822.
LCM(67477,67486) = 4553752822
Least Common Multiple of 67477 and 67486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67477 and 67486, than apply into the LCM equation.
GCF(67477,67486) = 1
LCM(67477,67486) = ( 67477 × 67486) / 1
LCM(67477,67486) = 4553752822 / 1
LCM(67477,67486) = 4553752822
Least Common Multiple (LCM) of 67477 and 67486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67477 and 67486. First we will calculate the prime factors of 67477 and 67486.
Prime Factorization of 67477
Prime factors of 67477 are 67477. Prime factorization of 67477 in exponential form is:
67477 = 674771
Prime Factorization of 67486
Prime factors of 67486 are 2, 41, 823. Prime factorization of 67486 in exponential form is:
67486 = 21 × 411 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 67477 and 67486.
LCM(67477,67486) = 674771 × 21 × 411 × 8231
LCM(67477,67486) = 4553752822
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