What is the Least Common Multiple of 9206 and 9211?
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 9206 and 9211 is 84796466.
LCM(9206,9211) = 84796466
Least Common Multiple of 9206 and 9211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9206 and 9211, than apply into the LCM equation.
GCF(9206,9211) = 1
LCM(9206,9211) = ( 9206 × 9211) / 1
LCM(9206,9211) = 84796466 / 1
LCM(9206,9211) = 84796466
Least Common Multiple (LCM) of 9206 and 9211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9206 and 9211. First we will calculate the prime factors of 9206 and 9211.
Prime Factorization of 9206
Prime factors of 9206 are 2, 4603. Prime factorization of 9206 in exponential form is:
9206 = 21 × 46031
Prime Factorization of 9211
Prime factors of 9211 are 61, 151. Prime factorization of 9211 in exponential form is:
9211 = 611 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 9206 and 9211.
LCM(9206,9211) = 21 × 46031 × 611 × 1511
LCM(9206,9211) = 84796466
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