What is the Least Common Multiple of 95227 and 95232?
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 95232 is 9068657664.
LCM(95227,95232) = 9068657664
Least Common Multiple of 95227 and 95232 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 95232, than apply into the LCM equation.
GCF(95227,95232) = 1
LCM(95227,95232) = ( 95227 × 95232) / 1
LCM(95227,95232) = 9068657664 / 1
LCM(95227,95232) = 9068657664
Least Common Multiple (LCM) of 95227 and 95232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95227 and 95232. First we will calculate the prime factors of 95227 and 95232.
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 95232
Prime factors of 95232 are 2, 3, 31. Prime factorization of 95232 in exponential form is:
95232 = 210 × 31 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 95227 and 95232.
LCM(95227,95232) = 112 × 7871 × 210 × 31 × 311
LCM(95227,95232) = 9068657664
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