What is the Least Common Multiple of 92598 and 92602?
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 92598 and 92602 is 4287379998.
LCM(92598,92602) = 4287379998
Least Common Multiple of 92598 and 92602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92598 and 92602, than apply into the LCM equation.
GCF(92598,92602) = 2
LCM(92598,92602) = ( 92598 × 92602) / 2
LCM(92598,92602) = 8574759996 / 2
LCM(92598,92602) = 4287379998
Least Common Multiple (LCM) of 92598 and 92602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92598 and 92602. First we will calculate the prime factors of 92598 and 92602.
Prime Factorization of 92598
Prime factors of 92598 are 2, 3, 11, 23, 61. Prime factorization of 92598 in exponential form is:
92598 = 21 × 31 × 111 × 231 × 611
Prime Factorization of 92602
Prime factors of 92602 are 2, 46301. Prime factorization of 92602 in exponential form is:
92602 = 21 × 463011
Now multiplying the highest exponent prime factors to calculate the LCM of 92598 and 92602.
LCM(92598,92602) = 21 × 31 × 111 × 231 × 611 × 463011
LCM(92598,92602) = 4287379998
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