What is the Least Common Multiple of 79486 and 79499?
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 79486 and 79499 is 6319057514.
LCM(79486,79499) = 6319057514
Least Common Multiple of 79486 and 79499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79486 and 79499, than apply into the LCM equation.
GCF(79486,79499) = 1
LCM(79486,79499) = ( 79486 × 79499) / 1
LCM(79486,79499) = 6319057514 / 1
LCM(79486,79499) = 6319057514
Least Common Multiple (LCM) of 79486 and 79499 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79486 and 79499. First we will calculate the prime factors of 79486 and 79499.
Prime Factorization of 79486
Prime factors of 79486 are 2, 11, 3613. Prime factorization of 79486 in exponential form is:
79486 = 21 × 111 × 36131
Prime Factorization of 79499
Prime factors of 79499 are 7, 41, 277. Prime factorization of 79499 in exponential form is:
79499 = 71 × 411 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 79486 and 79499.
LCM(79486,79499) = 21 × 111 × 36131 × 71 × 411 × 2771
LCM(79486,79499) = 6319057514
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