What is the Least Common Multiple of 95127 and 95142?
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 95127 and 95142 is 3016857678.
LCM(95127,95142) = 3016857678
Least Common Multiple of 95127 and 95142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95127 and 95142, than apply into the LCM equation.
GCF(95127,95142) = 3
LCM(95127,95142) = ( 95127 × 95142) / 3
LCM(95127,95142) = 9050573034 / 3
LCM(95127,95142) = 3016857678
Least Common Multiple (LCM) of 95127 and 95142 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95127 and 95142. First we will calculate the prime factors of 95127 and 95142.
Prime Factorization of 95127
Prime factors of 95127 are 3, 37, 857. Prime factorization of 95127 in exponential form is:
95127 = 31 × 371 × 8571
Prime Factorization of 95142
Prime factors of 95142 are 2, 3, 101, 157. Prime factorization of 95142 in exponential form is:
95142 = 21 × 31 × 1011 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 95127 and 95142.
LCM(95127,95142) = 31 × 371 × 8571 × 21 × 1011 × 1571
LCM(95127,95142) = 3016857678
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