What is the Least Common Multiple of 95639 and 95658?
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 95639 and 95658 is 9148635462.
LCM(95639,95658) = 9148635462
Least Common Multiple of 95639 and 95658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95639 and 95658, than apply into the LCM equation.
GCF(95639,95658) = 1
LCM(95639,95658) = ( 95639 × 95658) / 1
LCM(95639,95658) = 9148635462 / 1
LCM(95639,95658) = 9148635462
Least Common Multiple (LCM) of 95639 and 95658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95639 and 95658. First we will calculate the prime factors of 95639 and 95658.
Prime Factorization of 95639
Prime factors of 95639 are 59, 1621. Prime factorization of 95639 in exponential form is:
95639 = 591 × 16211
Prime Factorization of 95658
Prime factors of 95658 are 2, 3, 107, 149. Prime factorization of 95658 in exponential form is:
95658 = 21 × 31 × 1071 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 95639 and 95658.
LCM(95639,95658) = 591 × 16211 × 21 × 31 × 1071 × 1491
LCM(95639,95658) = 9148635462
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