What is the Least Common Multiple of 79881 and 79885?
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 79881 and 79885 is 6381293685.
LCM(79881,79885) = 6381293685
Least Common Multiple of 79881 and 79885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79881 and 79885, than apply into the LCM equation.
GCF(79881,79885) = 1
LCM(79881,79885) = ( 79881 × 79885) / 1
LCM(79881,79885) = 6381293685 / 1
LCM(79881,79885) = 6381293685
Least Common Multiple (LCM) of 79881 and 79885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79881 and 79885. First we will calculate the prime factors of 79881 and 79885.
Prime Factorization of 79881
Prime factors of 79881 are 3, 26627. Prime factorization of 79881 in exponential form is:
79881 = 31 × 266271
Prime Factorization of 79885
Prime factors of 79885 are 5, 13, 1229. Prime factorization of 79885 in exponential form is:
79885 = 51 × 131 × 12291
Now multiplying the highest exponent prime factors to calculate the LCM of 79881 and 79885.
LCM(79881,79885) = 31 × 266271 × 51 × 131 × 12291
LCM(79881,79885) = 6381293685
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