What is the Least Common Multiple of 95326 and 95330?
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 95326 and 95330 is 4543713790.
LCM(95326,95330) = 4543713790
Least Common Multiple of 95326 and 95330 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95326 and 95330, than apply into the LCM equation.
GCF(95326,95330) = 2
LCM(95326,95330) = ( 95326 × 95330) / 2
LCM(95326,95330) = 9087427580 / 2
LCM(95326,95330) = 4543713790
Least Common Multiple (LCM) of 95326 and 95330 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95326 and 95330. First we will calculate the prime factors of 95326 and 95330.
Prime Factorization of 95326
Prime factors of 95326 are 2, 7, 11, 619. Prime factorization of 95326 in exponential form is:
95326 = 21 × 71 × 111 × 6191
Prime Factorization of 95330
Prime factors of 95330 are 2, 5, 9533. Prime factorization of 95330 in exponential form is:
95330 = 21 × 51 × 95331
Now multiplying the highest exponent prime factors to calculate the LCM of 95326 and 95330.
LCM(95326,95330) = 21 × 71 × 111 × 6191 × 51 × 95331
LCM(95326,95330) = 4543713790
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