What is the Least Common Multiple of 92564 and 92568?
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 92564 and 92568 is 2142116088.
LCM(92564,92568) = 2142116088
Least Common Multiple of 92564 and 92568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92564 and 92568, than apply into the LCM equation.
GCF(92564,92568) = 4
LCM(92564,92568) = ( 92564 × 92568) / 4
LCM(92564,92568) = 8568464352 / 4
LCM(92564,92568) = 2142116088
Least Common Multiple (LCM) of 92564 and 92568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92564 and 92568. First we will calculate the prime factors of 92564 and 92568.
Prime Factorization of 92564
Prime factors of 92564 are 2, 73, 317. Prime factorization of 92564 in exponential form is:
92564 = 22 × 731 × 3171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 92564 and 92568.
LCM(92564,92568) = 23 × 731 × 3171 × 31 × 71 × 191 × 291
LCM(92564,92568) = 2142116088
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