What is the Least Common Multiple of 95227 and 95234?
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 95227 and 95234 is 9068848118.
LCM(95227,95234) = 9068848118
Least Common Multiple of 95227 and 95234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95227 and 95234, than apply into the LCM equation.
GCF(95227,95234) = 1
LCM(95227,95234) = ( 95227 × 95234) / 1
LCM(95227,95234) = 9068848118 / 1
LCM(95227,95234) = 9068848118
Least Common Multiple (LCM) of 95227 and 95234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95227 and 95234. First we will calculate the prime factors of 95227 and 95234.
Prime Factorization of 95227
Prime factors of 95227 are 11, 787. Prime factorization of 95227 in exponential form is:
95227 = 112 × 7871
Prime Factorization of 95234
Prime factors of 95234 are 2, 17, 2801. Prime factorization of 95234 in exponential form is:
95234 = 21 × 171 × 28011
Now multiplying the highest exponent prime factors to calculate the LCM of 95227 and 95234.
LCM(95227,95234) = 112 × 7871 × 21 × 171 × 28011
LCM(95227,95234) = 9068848118
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