What is the Least Common Multiple of 94207 and 94226?
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 94207 and 94226 is 8876748782.
LCM(94207,94226) = 8876748782
Least Common Multiple of 94207 and 94226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94207 and 94226, than apply into the LCM equation.
GCF(94207,94226) = 1
LCM(94207,94226) = ( 94207 × 94226) / 1
LCM(94207,94226) = 8876748782 / 1
LCM(94207,94226) = 8876748782
Least Common Multiple (LCM) of 94207 and 94226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94207 and 94226. First we will calculate the prime factors of 94207 and 94226.
Prime Factorization of 94207
Prime factors of 94207 are 94207. Prime factorization of 94207 in exponential form is:
94207 = 942071
Prime Factorization of 94226
Prime factors of 94226 are 2, 11, 4283. Prime factorization of 94226 in exponential form is:
94226 = 21 × 111 × 42831
Now multiplying the highest exponent prime factors to calculate the LCM of 94207 and 94226.
LCM(94207,94226) = 942071 × 21 × 111 × 42831
LCM(94207,94226) = 8876748782
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