What is the Least Common Multiple of 95879 and 95885?
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 95879 and 95885 is 9193357915.
LCM(95879,95885) = 9193357915
Least Common Multiple of 95879 and 95885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95879 and 95885, than apply into the LCM equation.
GCF(95879,95885) = 1
LCM(95879,95885) = ( 95879 × 95885) / 1
LCM(95879,95885) = 9193357915 / 1
LCM(95879,95885) = 9193357915
Least Common Multiple (LCM) of 95879 and 95885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95879 and 95885. First we will calculate the prime factors of 95879 and 95885.
Prime Factorization of 95879
Prime factors of 95879 are 7, 13697. Prime factorization of 95879 in exponential form is:
95879 = 71 × 136971
Prime Factorization of 95885
Prime factors of 95885 are 5, 127, 151. Prime factorization of 95885 in exponential form is:
95885 = 51 × 1271 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 95879 and 95885.
LCM(95879,95885) = 71 × 136971 × 51 × 1271 × 1511
LCM(95879,95885) = 9193357915
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