What is the Least Common Multiple of 95607 and 95612?
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 95607 and 95612 is 9141176484.
LCM(95607,95612) = 9141176484
Least Common Multiple of 95607 and 95612 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95607 and 95612, than apply into the LCM equation.
GCF(95607,95612) = 1
LCM(95607,95612) = ( 95607 × 95612) / 1
LCM(95607,95612) = 9141176484 / 1
LCM(95607,95612) = 9141176484
Least Common Multiple (LCM) of 95607 and 95612 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95607 and 95612. First we will calculate the prime factors of 95607 and 95612.
Prime Factorization of 95607
Prime factors of 95607 are 3, 3541. Prime factorization of 95607 in exponential form is:
95607 = 33 × 35411
Prime Factorization of 95612
Prime factors of 95612 are 2, 11, 41, 53. Prime factorization of 95612 in exponential form is:
95612 = 22 × 111 × 411 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 95607 and 95612.
LCM(95607,95612) = 33 × 35411 × 22 × 111 × 411 × 531
LCM(95607,95612) = 9141176484
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