What is the Least Common Multiple of 95811 and 95821?
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 95811 and 95821 is 9180705831.
LCM(95811,95821) = 9180705831
Least Common Multiple of 95811 and 95821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95811 and 95821, than apply into the LCM equation.
GCF(95811,95821) = 1
LCM(95811,95821) = ( 95811 × 95821) / 1
LCM(95811,95821) = 9180705831 / 1
LCM(95811,95821) = 9180705831
Least Common Multiple (LCM) of 95811 and 95821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95811 and 95821. First we will calculate the prime factors of 95811 and 95821.
Prime Factorization of 95811
Prime factors of 95811 are 3, 109, 293. Prime factorization of 95811 in exponential form is:
95811 = 31 × 1091 × 2931
Prime Factorization of 95821
Prime factors of 95821 are 11, 31, 281. Prime factorization of 95821 in exponential form is:
95821 = 111 × 311 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 95811 and 95821.
LCM(95811,95821) = 31 × 1091 × 2931 × 111 × 311 × 2811
LCM(95811,95821) = 9180705831
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