What is the Least Common Multiple of 95211 and 95230?
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 95211 and 95230 is 9066943530.
LCM(95211,95230) = 9066943530
Least Common Multiple of 95211 and 95230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95211 and 95230, than apply into the LCM equation.
GCF(95211,95230) = 1
LCM(95211,95230) = ( 95211 × 95230) / 1
LCM(95211,95230) = 9066943530 / 1
LCM(95211,95230) = 9066943530
Least Common Multiple (LCM) of 95211 and 95230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95211 and 95230. First we will calculate the prime factors of 95211 and 95230.
Prime Factorization of 95211
Prime factors of 95211 are 3, 71, 149. Prime factorization of 95211 in exponential form is:
95211 = 32 × 711 × 1491
Prime Factorization of 95230
Prime factors of 95230 are 2, 5, 89, 107. Prime factorization of 95230 in exponential form is:
95230 = 21 × 51 × 891 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 95211 and 95230.
LCM(95211,95230) = 32 × 711 × 1491 × 21 × 51 × 891 × 1071
LCM(95211,95230) = 9066943530
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