What is the Least Common Multiple of 92708 and 92712?
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 92708 and 92712 is 2148786024.
LCM(92708,92712) = 2148786024
Least Common Multiple of 92708 and 92712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92708 and 92712, than apply into the LCM equation.
GCF(92708,92712) = 4
LCM(92708,92712) = ( 92708 × 92712) / 4
LCM(92708,92712) = 8595144096 / 4
LCM(92708,92712) = 2148786024
Least Common Multiple (LCM) of 92708 and 92712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92708 and 92712. First we will calculate the prime factors of 92708 and 92712.
Prime Factorization of 92708
Prime factors of 92708 are 2, 7, 11, 43. Prime factorization of 92708 in exponential form is:
92708 = 22 × 72 × 111 × 431
Prime Factorization of 92712
Prime factors of 92712 are 2, 3, 3863. Prime factorization of 92712 in exponential form is:
92712 = 23 × 31 × 38631
Now multiplying the highest exponent prime factors to calculate the LCM of 92708 and 92712.
LCM(92708,92712) = 23 × 72 × 111 × 431 × 31 × 38631
LCM(92708,92712) = 2148786024
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