What is the Least Common Multiple of 92068 and 92079?
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 92068 and 92079 is 8477529372.
LCM(92068,92079) = 8477529372
Least Common Multiple of 92068 and 92079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92068 and 92079, than apply into the LCM equation.
GCF(92068,92079) = 1
LCM(92068,92079) = ( 92068 × 92079) / 1
LCM(92068,92079) = 8477529372 / 1
LCM(92068,92079) = 8477529372
Least Common Multiple (LCM) of 92068 and 92079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92068 and 92079. First we will calculate the prime factors of 92068 and 92079.
Prime Factorization of 92068
Prime factors of 92068 are 2, 23017. Prime factorization of 92068 in exponential form is:
92068 = 22 × 230171
Prime Factorization of 92079
Prime factors of 92079 are 3, 13, 787. Prime factorization of 92079 in exponential form is:
92079 = 32 × 131 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 92068 and 92079.
LCM(92068,92079) = 22 × 230171 × 32 × 131 × 7871
LCM(92068,92079) = 8477529372
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