What is the Least Common Multiple of 95562 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 95562 and 95567 is 9132573654.
LCM(95562,95567) = 9132573654
Least Common Multiple of 95562 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 95562 and 95567, than apply into the LCM equation.
GCF(95562,95567) = 1
LCM(95562,95567) = ( 95562 × 95567) / 1
LCM(95562,95567) = 9132573654 / 1
LCM(95562,95567) = 9132573654
Least Common Multiple (LCM) of 95562 and 95567 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95562 and 95567. First we will calculate the prime factors of 95562 and 95567.
Prime Factorization of 95562
Prime factors of 95562 are 2, 3, 5309. Prime factorization of 95562 in exponential form is:
95562 = 21 × 32 × 53091
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 95562 and 95567.
LCM(95562,95567) = 21 × 32 × 53091 × 2271 × 4211
LCM(95562,95567) = 9132573654
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