What is the Least Common Multiple of 95653 and 95661?
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 95653 and 95661 is 9150261633.
LCM(95653,95661) = 9150261633
Least Common Multiple of 95653 and 95661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95653 and 95661, than apply into the LCM equation.
GCF(95653,95661) = 1
LCM(95653,95661) = ( 95653 × 95661) / 1
LCM(95653,95661) = 9150261633 / 1
LCM(95653,95661) = 9150261633
Least Common Multiple (LCM) of 95653 and 95661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95653 and 95661. First we will calculate the prime factors of 95653 and 95661.
Prime Factorization of 95653
Prime factors of 95653 are 41, 2333. Prime factorization of 95653 in exponential form is:
95653 = 411 × 23331
Prime Factorization of 95661
Prime factors of 95661 are 3, 1181. Prime factorization of 95661 in exponential form is:
95661 = 34 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 95653 and 95661.
LCM(95653,95661) = 411 × 23331 × 34 × 11811
LCM(95653,95661) = 9150261633
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