What is the Least Common Multiple of 67879 and 67885?
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 67879 and 67885 is 4607965915.
LCM(67879,67885) = 4607965915
Least Common Multiple of 67879 and 67885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67879 and 67885, than apply into the LCM equation.
GCF(67879,67885) = 1
LCM(67879,67885) = ( 67879 × 67885) / 1
LCM(67879,67885) = 4607965915 / 1
LCM(67879,67885) = 4607965915
Least Common Multiple (LCM) of 67879 and 67885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67879 and 67885. First we will calculate the prime factors of 67879 and 67885.
Prime Factorization of 67879
Prime factors of 67879 are 7, 9697. Prime factorization of 67879 in exponential form is:
67879 = 71 × 96971
Prime Factorization of 67885
Prime factors of 67885 are 5, 13577. Prime factorization of 67885 in exponential form is:
67885 = 51 × 135771
Now multiplying the highest exponent prime factors to calculate the LCM of 67879 and 67885.
LCM(67879,67885) = 71 × 96971 × 51 × 135771
LCM(67879,67885) = 4607965915
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