What is the Least Common Multiple of 92142 and 92160?
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 92142 and 92160 is 471767040.
LCM(92142,92160) = 471767040
Least Common Multiple of 92142 and 92160 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92142 and 92160, than apply into the LCM equation.
GCF(92142,92160) = 18
LCM(92142,92160) = ( 92142 × 92160) / 18
LCM(92142,92160) = 8491806720 / 18
LCM(92142,92160) = 471767040
Least Common Multiple (LCM) of 92142 and 92160 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92142 and 92160. First we will calculate the prime factors of 92142 and 92160.
Prime Factorization of 92142
Prime factors of 92142 are 2, 3, 5119. Prime factorization of 92142 in exponential form is:
92142 = 21 × 32 × 51191
Prime Factorization of 92160
Prime factors of 92160 are 2, 3, 5. Prime factorization of 92160 in exponential form is:
92160 = 211 × 32 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 92142 and 92160.
LCM(92142,92160) = 211 × 32 × 51191 × 51
LCM(92142,92160) = 471767040
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