What is the Least Common Multiple of 95425 and 95433?
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 95425 and 95433 is 9106694025.
LCM(95425,95433) = 9106694025
Least Common Multiple of 95425 and 95433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95425 and 95433, than apply into the LCM equation.
GCF(95425,95433) = 1
LCM(95425,95433) = ( 95425 × 95433) / 1
LCM(95425,95433) = 9106694025 / 1
LCM(95425,95433) = 9106694025
Least Common Multiple (LCM) of 95425 and 95433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95425 and 95433. First we will calculate the prime factors of 95425 and 95433.
Prime Factorization of 95425
Prime factors of 95425 are 5, 11, 347. Prime factorization of 95425 in exponential form is:
95425 = 52 × 111 × 3471
Prime Factorization of 95433
Prime factors of 95433 are 3, 13, 2447. Prime factorization of 95433 in exponential form is:
95433 = 31 × 131 × 24471
Now multiplying the highest exponent prime factors to calculate the LCM of 95425 and 95433.
LCM(95425,95433) = 52 × 111 × 3471 × 31 × 131 × 24471
LCM(95425,95433) = 9106694025
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