What is the Least Common Multiple of 95428 and 95436?
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 95428 and 95436 is 2276816652.
LCM(95428,95436) = 2276816652
Least Common Multiple of 95428 and 95436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95428 and 95436, than apply into the LCM equation.
GCF(95428,95436) = 4
LCM(95428,95436) = ( 95428 × 95436) / 4
LCM(95428,95436) = 9107266608 / 4
LCM(95428,95436) = 2276816652
Least Common Multiple (LCM) of 95428 and 95436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95428 and 95436. First we will calculate the prime factors of 95428 and 95436.
Prime Factorization of 95428
Prime factors of 95428 are 2, 23857. Prime factorization of 95428 in exponential form is:
95428 = 22 × 238571
Prime Factorization of 95436
Prime factors of 95436 are 2, 3, 11, 241. Prime factorization of 95436 in exponential form is:
95436 = 22 × 32 × 111 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 95428 and 95436.
LCM(95428,95436) = 22 × 238571 × 32 × 111 × 2411
LCM(95428,95436) = 2276816652
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