What is the Least Common Multiple of 95246 and 95255?
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 95246 and 95255 is 9072657730.
LCM(95246,95255) = 9072657730
Least Common Multiple of 95246 and 95255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95246 and 95255, than apply into the LCM equation.
GCF(95246,95255) = 1
LCM(95246,95255) = ( 95246 × 95255) / 1
LCM(95246,95255) = 9072657730 / 1
LCM(95246,95255) = 9072657730
Least Common Multiple (LCM) of 95246 and 95255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95246 and 95255. First we will calculate the prime factors of 95246 and 95255.
Prime Factorization of 95246
Prime factors of 95246 are 2, 47623. Prime factorization of 95246 in exponential form is:
95246 = 21 × 476231
Prime Factorization of 95255
Prime factors of 95255 are 5, 19051. Prime factorization of 95255 in exponential form is:
95255 = 51 × 190511
Now multiplying the highest exponent prime factors to calculate the LCM of 95246 and 95255.
LCM(95246,95255) = 21 × 476231 × 51 × 190511
LCM(95246,95255) = 9072657730
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