What is the Least Common Multiple of 81191 and 81204?
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 81191 and 81204 is 6593033964.
LCM(81191,81204) = 6593033964
Least Common Multiple of 81191 and 81204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81191 and 81204, than apply into the LCM equation.
GCF(81191,81204) = 1
LCM(81191,81204) = ( 81191 × 81204) / 1
LCM(81191,81204) = 6593033964 / 1
LCM(81191,81204) = 6593033964
Least Common Multiple (LCM) of 81191 and 81204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81191 and 81204. First we will calculate the prime factors of 81191 and 81204.
Prime Factorization of 81191
Prime factors of 81191 are 11, 61. Prime factorization of 81191 in exponential form is:
81191 = 113 × 611
Prime Factorization of 81204
Prime factors of 81204 are 2, 3, 67, 101. Prime factorization of 81204 in exponential form is:
81204 = 22 × 31 × 671 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 81191 and 81204.
LCM(81191,81204) = 113 × 611 × 22 × 31 × 671 × 1011
LCM(81191,81204) = 6593033964
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