What is the Least Common Multiple of 92568 and 92588?
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 92568 and 92588 is 2142671496.
LCM(92568,92588) = 2142671496
Least Common Multiple of 92568 and 92588 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92568 and 92588, than apply into the LCM equation.
GCF(92568,92588) = 4
LCM(92568,92588) = ( 92568 × 92588) / 4
LCM(92568,92588) = 8570685984 / 4
LCM(92568,92588) = 2142671496
Least Common Multiple (LCM) of 92568 and 92588 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92568 and 92588. First we will calculate the prime factors of 92568 and 92588.
Prime Factorization of 92568
Prime factors of 92568 are 2, 3, 7, 19, 29. Prime factorization of 92568 in exponential form is:
92568 = 23 × 31 × 71 × 191 × 291
Prime Factorization of 92588
Prime factors of 92588 are 2, 79, 293. Prime factorization of 92588 in exponential form is:
92588 = 22 × 791 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 92568 and 92588.
LCM(92568,92588) = 23 × 31 × 71 × 191 × 291 × 791 × 2931
LCM(92568,92588) = 2142671496
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