What is the Least Common Multiple of 95221 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 95221 and 95230 is 9067895830.
LCM(95221,95230) = 9067895830
Least Common Multiple of 95221 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 95221 and 95230, than apply into the LCM equation.
GCF(95221,95230) = 1
LCM(95221,95230) = ( 95221 × 95230) / 1
LCM(95221,95230) = 9067895830 / 1
LCM(95221,95230) = 9067895830
Least Common Multiple (LCM) of 95221 and 95230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95221 and 95230. First we will calculate the prime factors of 95221 and 95230.
Prime Factorization of 95221
Prime factors of 95221 are 7, 61, 223. Prime factorization of 95221 in exponential form is:
95221 = 71 × 611 × 2231
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 95221 and 95230.
LCM(95221,95230) = 71 × 611 × 2231 × 21 × 51 × 891 × 1071
LCM(95221,95230) = 9067895830
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