What is the Least Common Multiple of 92027 and 92043?
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 92027 and 92043 is 8470441161.
LCM(92027,92043) = 8470441161
Least Common Multiple of 92027 and 92043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92027 and 92043, than apply into the LCM equation.
GCF(92027,92043) = 1
LCM(92027,92043) = ( 92027 × 92043) / 1
LCM(92027,92043) = 8470441161 / 1
LCM(92027,92043) = 8470441161
Least Common Multiple (LCM) of 92027 and 92043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92027 and 92043. First we will calculate the prime factors of 92027 and 92043.
Prime Factorization of 92027
Prime factors of 92027 are 13, 7079. Prime factorization of 92027 in exponential form is:
92027 = 131 × 70791
Prime Factorization of 92043
Prime factors of 92043 are 3, 7, 487. Prime factorization of 92043 in exponential form is:
92043 = 33 × 71 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 92027 and 92043.
LCM(92027,92043) = 131 × 70791 × 33 × 71 × 4871
LCM(92027,92043) = 8470441161
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