What is the Least Common Multiple of 95426 and 95443?
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 95426 and 95443 is 9107743718.
LCM(95426,95443) = 9107743718
Least Common Multiple of 95426 and 95443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95426 and 95443, than apply into the LCM equation.
GCF(95426,95443) = 1
LCM(95426,95443) = ( 95426 × 95443) / 1
LCM(95426,95443) = 9107743718 / 1
LCM(95426,95443) = 9107743718
Least Common Multiple (LCM) of 95426 and 95443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95426 and 95443. First we will calculate the prime factors of 95426 and 95443.
Prime Factorization of 95426
Prime factors of 95426 are 2, 47713. Prime factorization of 95426 in exponential form is:
95426 = 21 × 477131
Prime Factorization of 95443
Prime factors of 95443 are 95443. Prime factorization of 95443 in exponential form is:
95443 = 954431
Now multiplying the highest exponent prime factors to calculate the LCM of 95426 and 95443.
LCM(95426,95443) = 21 × 477131 × 954431
LCM(95426,95443) = 9107743718
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