What is the Least Common Multiple of 95357 and 95370?
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 95357 and 95370 is 9094197090.
LCM(95357,95370) = 9094197090
Least Common Multiple of 95357 and 95370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95357 and 95370, than apply into the LCM equation.
GCF(95357,95370) = 1
LCM(95357,95370) = ( 95357 × 95370) / 1
LCM(95357,95370) = 9094197090 / 1
LCM(95357,95370) = 9094197090
Least Common Multiple (LCM) of 95357 and 95370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95357 and 95370. First we will calculate the prime factors of 95357 and 95370.
Prime Factorization of 95357
Prime factors of 95357 are 167, 571. Prime factorization of 95357 in exponential form is:
95357 = 1671 × 5711
Prime Factorization of 95370
Prime factors of 95370 are 2, 3, 5, 11, 17. Prime factorization of 95370 in exponential form is:
95370 = 21 × 31 × 51 × 111 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 95357 and 95370.
LCM(95357,95370) = 1671 × 5711 × 21 × 31 × 51 × 111 × 172
LCM(95357,95370) = 9094197090
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