What is the Least Common Multiple of 95207 and 95212?
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 95212 is 9064848884.
LCM(95207,95212) = 9064848884
Least Common Multiple of 95207 and 95212 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 95212, than apply into the LCM equation.
GCF(95207,95212) = 1
LCM(95207,95212) = ( 95207 × 95212) / 1
LCM(95207,95212) = 9064848884 / 1
LCM(95207,95212) = 9064848884
Least Common Multiple (LCM) of 95207 and 95212 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95207 and 95212. First we will calculate the prime factors of 95207 and 95212.
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 95212
Prime factors of 95212 are 2, 13, 1831. Prime factorization of 95212 in exponential form is:
95212 = 22 × 131 × 18311
Now multiplying the highest exponent prime factors to calculate the LCM of 95207 and 95212.
LCM(95207,95212) = 72 × 291 × 671 × 22 × 131 × 18311
LCM(95207,95212) = 9064848884
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