What is the Least Common Multiple of 95137 and 95145?
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 95137 and 95145 is 9051809865.
LCM(95137,95145) = 9051809865
Least Common Multiple of 95137 and 95145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95137 and 95145, than apply into the LCM equation.
GCF(95137,95145) = 1
LCM(95137,95145) = ( 95137 × 95145) / 1
LCM(95137,95145) = 9051809865 / 1
LCM(95137,95145) = 9051809865
Least Common Multiple (LCM) of 95137 and 95145 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95137 and 95145. First we will calculate the prime factors of 95137 and 95145.
Prime Factorization of 95137
Prime factors of 95137 are 7, 13591. Prime factorization of 95137 in exponential form is:
95137 = 71 × 135911
Prime Factorization of 95145
Prime factors of 95145 are 3, 5, 6343. Prime factorization of 95145 in exponential form is:
95145 = 31 × 51 × 63431
Now multiplying the highest exponent prime factors to calculate the LCM of 95137 and 95145.
LCM(95137,95145) = 71 × 135911 × 31 × 51 × 63431
LCM(95137,95145) = 9051809865
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