What is the Least Common Multiple of 92752 and 92770?
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 92752 and 92770 is 4302301520.
LCM(92752,92770) = 4302301520
Least Common Multiple of 92752 and 92770 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92752 and 92770, than apply into the LCM equation.
GCF(92752,92770) = 2
LCM(92752,92770) = ( 92752 × 92770) / 2
LCM(92752,92770) = 8604603040 / 2
LCM(92752,92770) = 4302301520
Least Common Multiple (LCM) of 92752 and 92770 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92752 and 92770. First we will calculate the prime factors of 92752 and 92770.
Prime Factorization of 92752
Prime factors of 92752 are 2, 11, 17, 31. Prime factorization of 92752 in exponential form is:
92752 = 24 × 111 × 171 × 311
Prime Factorization of 92770
Prime factors of 92770 are 2, 5, 9277. Prime factorization of 92770 in exponential form is:
92770 = 21 × 51 × 92771
Now multiplying the highest exponent prime factors to calculate the LCM of 92752 and 92770.
LCM(92752,92770) = 24 × 111 × 171 × 311 × 51 × 92771
LCM(92752,92770) = 4302301520
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