What is the Least Common Multiple of 95542 and 95556?
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 95542 and 95556 is 4564805676.
LCM(95542,95556) = 4564805676
Least Common Multiple of 95542 and 95556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95542 and 95556, than apply into the LCM equation.
GCF(95542,95556) = 2
LCM(95542,95556) = ( 95542 × 95556) / 2
LCM(95542,95556) = 9129611352 / 2
LCM(95542,95556) = 4564805676
Least Common Multiple (LCM) of 95542 and 95556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95542 and 95556. First we will calculate the prime factors of 95542 and 95556.
Prime Factorization of 95542
Prime factors of 95542 are 2, 23, 31, 67. Prime factorization of 95542 in exponential form is:
95542 = 21 × 231 × 311 × 671
Prime Factorization of 95556
Prime factors of 95556 are 2, 3, 7963. Prime factorization of 95556 in exponential form is:
95556 = 22 × 31 × 79631
Now multiplying the highest exponent prime factors to calculate the LCM of 95542 and 95556.
LCM(95542,95556) = 22 × 231 × 311 × 671 × 31 × 79631
LCM(95542,95556) = 4564805676
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