What is the Least Common Multiple of 95218 and 95236?
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 95218 and 95236 is 4534090724.
LCM(95218,95236) = 4534090724
Least Common Multiple of 95218 and 95236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95218 and 95236, than apply into the LCM equation.
GCF(95218,95236) = 2
LCM(95218,95236) = ( 95218 × 95236) / 2
LCM(95218,95236) = 9068181448 / 2
LCM(95218,95236) = 4534090724
Least Common Multiple (LCM) of 95218 and 95236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95218 and 95236. First we will calculate the prime factors of 95218 and 95236.
Prime Factorization of 95218
Prime factors of 95218 are 2, 47609. Prime factorization of 95218 in exponential form is:
95218 = 21 × 476091
Prime Factorization of 95236
Prime factors of 95236 are 2, 29, 821. Prime factorization of 95236 in exponential form is:
95236 = 22 × 291 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 95218 and 95236.
LCM(95218,95236) = 22 × 476091 × 291 × 8211
LCM(95218,95236) = 4534090724
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