What is the Least Common Multiple of 95563 and 95567?
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 95563 and 95567 is 9132669221.
LCM(95563,95567) = 9132669221
Least Common Multiple of 95563 and 95567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95563 and 95567, than apply into the LCM equation.
GCF(95563,95567) = 1
LCM(95563,95567) = ( 95563 × 95567) / 1
LCM(95563,95567) = 9132669221 / 1
LCM(95563,95567) = 9132669221
Least Common Multiple (LCM) of 95563 and 95567 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95563 and 95567. First we will calculate the prime factors of 95563 and 95567.
Prime Factorization of 95563
Prime factors of 95563 are 13, 7351. Prime factorization of 95563 in exponential form is:
95563 = 131 × 73511
Prime Factorization of 95567
Prime factors of 95567 are 227, 421. Prime factorization of 95567 in exponential form is:
95567 = 2271 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 95563 and 95567.
LCM(95563,95567) = 131 × 73511 × 2271 × 4211
LCM(95563,95567) = 9132669221
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