What is the Least Common Multiple of 92772 and 92785?
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 92772 and 92785 is 8607850020.
LCM(92772,92785) = 8607850020
Least Common Multiple of 92772 and 92785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92772 and 92785, than apply into the LCM equation.
GCF(92772,92785) = 1
LCM(92772,92785) = ( 92772 × 92785) / 1
LCM(92772,92785) = 8607850020 / 1
LCM(92772,92785) = 8607850020
Least Common Multiple (LCM) of 92772 and 92785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92772 and 92785. First we will calculate the prime factors of 92772 and 92785.
Prime Factorization of 92772
Prime factors of 92772 are 2, 3, 859. Prime factorization of 92772 in exponential form is:
92772 = 22 × 33 × 8591
Prime Factorization of 92785
Prime factors of 92785 are 5, 7, 11, 241. Prime factorization of 92785 in exponential form is:
92785 = 51 × 71 × 111 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 92772 and 92785.
LCM(92772,92785) = 22 × 33 × 8591 × 51 × 71 × 111 × 2411
LCM(92772,92785) = 8607850020
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