What is the Least Common Multiple of 95503 and 95507?
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 95503 and 95507 is 9121205021.
LCM(95503,95507) = 9121205021
Least Common Multiple of 95503 and 95507 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95503 and 95507, than apply into the LCM equation.
GCF(95503,95507) = 1
LCM(95503,95507) = ( 95503 × 95507) / 1
LCM(95503,95507) = 9121205021 / 1
LCM(95503,95507) = 9121205021
Least Common Multiple (LCM) of 95503 and 95507 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95503 and 95507. First we will calculate the prime factors of 95503 and 95507.
Prime Factorization of 95503
Prime factors of 95503 are 43, 2221. Prime factorization of 95503 in exponential form is:
95503 = 431 × 22211
Prime Factorization of 95507
Prime factors of 95507 are 95507. Prime factorization of 95507 in exponential form is:
95507 = 955071
Now multiplying the highest exponent prime factors to calculate the LCM of 95503 and 95507.
LCM(95503,95507) = 431 × 22211 × 955071
LCM(95503,95507) = 9121205021
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