What is the Least Common Multiple of 92602 and 92608?
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 92602 and 92608 is 4287843008.
LCM(92602,92608) = 4287843008
Least Common Multiple of 92602 and 92608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92602 and 92608, than apply into the LCM equation.
GCF(92602,92608) = 2
LCM(92602,92608) = ( 92602 × 92608) / 2
LCM(92602,92608) = 8575686016 / 2
LCM(92602,92608) = 4287843008
Least Common Multiple (LCM) of 92602 and 92608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92602 and 92608. First we will calculate the prime factors of 92602 and 92608.
Prime Factorization of 92602
Prime factors of 92602 are 2, 46301. Prime factorization of 92602 in exponential form is:
92602 = 21 × 463011
Prime Factorization of 92608
Prime factors of 92608 are 2, 1447. Prime factorization of 92608 in exponential form is:
92608 = 26 × 14471
Now multiplying the highest exponent prime factors to calculate the LCM of 92602 and 92608.
LCM(92602,92608) = 26 × 463011 × 14471
LCM(92602,92608) = 4287843008
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