What is the Least Common Multiple of 95482 and 95502?
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 95482 and 95502 is 4559360982.
LCM(95482,95502) = 4559360982
Least Common Multiple of 95482 and 95502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95482 and 95502, than apply into the LCM equation.
GCF(95482,95502) = 2
LCM(95482,95502) = ( 95482 × 95502) / 2
LCM(95482,95502) = 9118721964 / 2
LCM(95482,95502) = 4559360982
Least Common Multiple (LCM) of 95482 and 95502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95482 and 95502. First we will calculate the prime factors of 95482 and 95502.
Prime Factorization of 95482
Prime factors of 95482 are 2, 47741. Prime factorization of 95482 in exponential form is:
95482 = 21 × 477411
Prime Factorization of 95502
Prime factors of 95502 are 2, 3, 11, 1447. Prime factorization of 95502 in exponential form is:
95502 = 21 × 31 × 111 × 14471
Now multiplying the highest exponent prime factors to calculate the LCM of 95482 and 95502.
LCM(95482,95502) = 21 × 477411 × 31 × 111 × 14471
LCM(95482,95502) = 4559360982
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