What is the Least Common Multiple of 95356 and 95363?
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 95356 and 95363 is 9093434228.
LCM(95356,95363) = 9093434228
Least Common Multiple of 95356 and 95363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95356 and 95363, than apply into the LCM equation.
GCF(95356,95363) = 1
LCM(95356,95363) = ( 95356 × 95363) / 1
LCM(95356,95363) = 9093434228 / 1
LCM(95356,95363) = 9093434228
Least Common Multiple (LCM) of 95356 and 95363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95356 and 95363. First we will calculate the prime factors of 95356 and 95363.
Prime Factorization of 95356
Prime factors of 95356 are 2, 31, 769. Prime factorization of 95356 in exponential form is:
95356 = 22 × 311 × 7691
Prime Factorization of 95363
Prime factors of 95363 are 47, 2029. Prime factorization of 95363 in exponential form is:
95363 = 471 × 20291
Now multiplying the highest exponent prime factors to calculate the LCM of 95356 and 95363.
LCM(95356,95363) = 22 × 311 × 7691 × 471 × 20291
LCM(95356,95363) = 9093434228
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