What is the Least Common Multiple of 95197 and 95207?
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 95197 and 95207 is 9063420779.
LCM(95197,95207) = 9063420779
Least Common Multiple of 95197 and 95207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95197 and 95207, than apply into the LCM equation.
GCF(95197,95207) = 1
LCM(95197,95207) = ( 95197 × 95207) / 1
LCM(95197,95207) = 9063420779 / 1
LCM(95197,95207) = 9063420779
Least Common Multiple (LCM) of 95197 and 95207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95197 and 95207. First we will calculate the prime factors of 95197 and 95207.
Prime Factorization of 95197
Prime factors of 95197 are 23, 4139. Prime factorization of 95197 in exponential form is:
95197 = 231 × 41391
Prime Factorization of 95207
Prime factors of 95207 are 7, 29, 67. Prime factorization of 95207 in exponential form is:
95207 = 72 × 291 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 95197 and 95207.
LCM(95197,95207) = 231 × 41391 × 72 × 291 × 671
LCM(95197,95207) = 9063420779
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