What is the Least Common Multiple of 95062 and 95082?
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 95062 and 95082 is 4519342542.
LCM(95062,95082) = 4519342542
Least Common Multiple of 95062 and 95082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95062 and 95082, than apply into the LCM equation.
GCF(95062,95082) = 2
LCM(95062,95082) = ( 95062 × 95082) / 2
LCM(95062,95082) = 9038685084 / 2
LCM(95062,95082) = 4519342542
Least Common Multiple (LCM) of 95062 and 95082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95062 and 95082. First we will calculate the prime factors of 95062 and 95082.
Prime Factorization of 95062
Prime factors of 95062 are 2, 11, 29, 149. Prime factorization of 95062 in exponential form is:
95062 = 21 × 111 × 291 × 1491
Prime Factorization of 95082
Prime factors of 95082 are 2, 3, 13, 23, 53. Prime factorization of 95082 in exponential form is:
95082 = 21 × 31 × 131 × 231 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 95062 and 95082.
LCM(95062,95082) = 21 × 111 × 291 × 1491 × 31 × 131 × 231 × 531
LCM(95062,95082) = 4519342542
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