What is the Least Common Multiple of 95132 and 95137?
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 95132 and 95137 is 9050573084.
LCM(95132,95137) = 9050573084
Least Common Multiple of 95132 and 95137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95132 and 95137, than apply into the LCM equation.
GCF(95132,95137) = 1
LCM(95132,95137) = ( 95132 × 95137) / 1
LCM(95132,95137) = 9050573084 / 1
LCM(95132,95137) = 9050573084
Least Common Multiple (LCM) of 95132 and 95137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95132 and 95137. First we will calculate the prime factors of 95132 and 95137.
Prime Factorization of 95132
Prime factors of 95132 are 2, 17, 1399. Prime factorization of 95132 in exponential form is:
95132 = 22 × 171 × 13991
Prime Factorization of 95137
Prime factors of 95137 are 7, 13591. Prime factorization of 95137 in exponential form is:
95137 = 71 × 135911
Now multiplying the highest exponent prime factors to calculate the LCM of 95132 and 95137.
LCM(95132,95137) = 22 × 171 × 13991 × 71 × 135911
LCM(95132,95137) = 9050573084
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