What is the Least Common Multiple of 92152 and 92157?
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 92152 and 92157 is 8492451864.
LCM(92152,92157) = 8492451864
Least Common Multiple of 92152 and 92157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92152 and 92157, than apply into the LCM equation.
GCF(92152,92157) = 1
LCM(92152,92157) = ( 92152 × 92157) / 1
LCM(92152,92157) = 8492451864 / 1
LCM(92152,92157) = 8492451864
Least Common Multiple (LCM) of 92152 and 92157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92152 and 92157. First we will calculate the prime factors of 92152 and 92157.
Prime Factorization of 92152
Prime factors of 92152 are 2, 11519. Prime factorization of 92152 in exponential form is:
92152 = 23 × 115191
Prime Factorization of 92157
Prime factors of 92157 are 3, 13, 17, 139. Prime factorization of 92157 in exponential form is:
92157 = 31 × 131 × 171 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 92152 and 92157.
LCM(92152,92157) = 23 × 115191 × 31 × 131 × 171 × 1391
LCM(92152,92157) = 8492451864
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