What is the Least Common Multiple of 92948 and 92962?
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 92948 and 92962 is 4320315988.
LCM(92948,92962) = 4320315988
Least Common Multiple of 92948 and 92962 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92948 and 92962, than apply into the LCM equation.
GCF(92948,92962) = 2
LCM(92948,92962) = ( 92948 × 92962) / 2
LCM(92948,92962) = 8640631976 / 2
LCM(92948,92962) = 4320315988
Least Common Multiple (LCM) of 92948 and 92962 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92948 and 92962. First we will calculate the prime factors of 92948 and 92962.
Prime Factorization of 92948
Prime factors of 92948 are 2, 19, 1223. Prime factorization of 92948 in exponential form is:
92948 = 22 × 191 × 12231
Prime Factorization of 92962
Prime factors of 92962 are 2, 53, 877. Prime factorization of 92962 in exponential form is:
92962 = 21 × 531 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 92948 and 92962.
LCM(92948,92962) = 22 × 191 × 12231 × 531 × 8771
LCM(92948,92962) = 4320315988
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