What is the Least Common Multiple of 92062 and 92076?
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 92062 and 92076 is 4238350356.
LCM(92062,92076) = 4238350356
Least Common Multiple of 92062 and 92076 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92062 and 92076, than apply into the LCM equation.
GCF(92062,92076) = 2
LCM(92062,92076) = ( 92062 × 92076) / 2
LCM(92062,92076) = 8476700712 / 2
LCM(92062,92076) = 4238350356
Least Common Multiple (LCM) of 92062 and 92076 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92062 and 92076. First we will calculate the prime factors of 92062 and 92076.
Prime Factorization of 92062
Prime factors of 92062 are 2, 191, 241. Prime factorization of 92062 in exponential form is:
92062 = 21 × 1911 × 2411
Prime Factorization of 92076
Prime factors of 92076 are 2, 3, 7673. Prime factorization of 92076 in exponential form is:
92076 = 22 × 31 × 76731
Now multiplying the highest exponent prime factors to calculate the LCM of 92062 and 92076.
LCM(92062,92076) = 22 × 1911 × 2411 × 31 × 76731
LCM(92062,92076) = 4238350356
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