What is the Least Common Multiple of 95803 and 95818?
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 95803 and 95818 is 9179651854.
LCM(95803,95818) = 9179651854
Least Common Multiple of 95803 and 95818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95803 and 95818, than apply into the LCM equation.
GCF(95803,95818) = 1
LCM(95803,95818) = ( 95803 × 95818) / 1
LCM(95803,95818) = 9179651854 / 1
LCM(95803,95818) = 9179651854
Least Common Multiple (LCM) of 95803 and 95818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95803 and 95818. First we will calculate the prime factors of 95803 and 95818.
Prime Factorization of 95803
Prime factors of 95803 are 95803. Prime factorization of 95803 in exponential form is:
95803 = 958031
Prime Factorization of 95818
Prime factors of 95818 are 2, 23, 2083. Prime factorization of 95818 in exponential form is:
95818 = 21 × 231 × 20831
Now multiplying the highest exponent prime factors to calculate the LCM of 95803 and 95818.
LCM(95803,95818) = 958031 × 21 × 231 × 20831
LCM(95803,95818) = 9179651854
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