What is the Least Common Multiple of 95339 and 95359?
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 95339 and 95359 is 9091431701.
LCM(95339,95359) = 9091431701
Least Common Multiple of 95339 and 95359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95339 and 95359, than apply into the LCM equation.
GCF(95339,95359) = 1
LCM(95339,95359) = ( 95339 × 95359) / 1
LCM(95339,95359) = 9091431701 / 1
LCM(95339,95359) = 9091431701
Least Common Multiple (LCM) of 95339 and 95359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95339 and 95359. First we will calculate the prime factors of 95339 and 95359.
Prime Factorization of 95339
Prime factors of 95339 are 95339. Prime factorization of 95339 in exponential form is:
95339 = 953391
Prime Factorization of 95359
Prime factors of 95359 are 11, 8669. Prime factorization of 95359 in exponential form is:
95359 = 111 × 86691
Now multiplying the highest exponent prime factors to calculate the LCM of 95339 and 95359.
LCM(95339,95359) = 953391 × 111 × 86691
LCM(95339,95359) = 9091431701
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