What is the Least Common Multiple of 92607 and 92622?
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 92607 and 92622 is 2859148518.
LCM(92607,92622) = 2859148518
Least Common Multiple of 92607 and 92622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92607 and 92622, than apply into the LCM equation.
GCF(92607,92622) = 3
LCM(92607,92622) = ( 92607 × 92622) / 3
LCM(92607,92622) = 8577445554 / 3
LCM(92607,92622) = 2859148518
Least Common Multiple (LCM) of 92607 and 92622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92607 and 92622. First we will calculate the prime factors of 92607 and 92622.
Prime Factorization of 92607
Prime factors of 92607 are 3, 30869. Prime factorization of 92607 in exponential form is:
92607 = 31 × 308691
Prime Factorization of 92622
Prime factors of 92622 are 2, 3, 43, 359. Prime factorization of 92622 in exponential form is:
92622 = 21 × 31 × 431 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 92607 and 92622.
LCM(92607,92622) = 31 × 308691 × 21 × 431 × 3591
LCM(92607,92622) = 2859148518
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