What is the Least Common Multiple of 95207 and 95226?
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 95207 and 95226 is 9066181782.
LCM(95207,95226) = 9066181782
Least Common Multiple of 95207 and 95226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95207 and 95226, than apply into the LCM equation.
GCF(95207,95226) = 1
LCM(95207,95226) = ( 95207 × 95226) / 1
LCM(95207,95226) = 9066181782 / 1
LCM(95207,95226) = 9066181782
Least Common Multiple (LCM) of 95207 and 95226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95207 and 95226. First we will calculate the prime factors of 95207 and 95226.
Prime Factorization of 95207
Prime factors of 95207 are 7, 29, 67. Prime factorization of 95207 in exponential form is:
95207 = 72 × 291 × 671
Prime Factorization of 95226
Prime factors of 95226 are 2, 3, 59, 269. Prime factorization of 95226 in exponential form is:
95226 = 21 × 31 × 591 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 95207 and 95226.
LCM(95207,95226) = 72 × 291 × 671 × 21 × 31 × 591 × 2691
LCM(95207,95226) = 9066181782
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