What is the Least Common Multiple of 96155 and 96168?
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 96155 and 96168 is 9247034040.
LCM(96155,96168) = 9247034040
Least Common Multiple of 96155 and 96168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96155 and 96168, than apply into the LCM equation.
GCF(96155,96168) = 1
LCM(96155,96168) = ( 96155 × 96168) / 1
LCM(96155,96168) = 9247034040 / 1
LCM(96155,96168) = 9247034040
Least Common Multiple (LCM) of 96155 and 96168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96155 and 96168. First we will calculate the prime factors of 96155 and 96168.
Prime Factorization of 96155
Prime factors of 96155 are 5, 19231. Prime factorization of 96155 in exponential form is:
96155 = 51 × 192311
Prime Factorization of 96168
Prime factors of 96168 are 2, 3, 4007. Prime factorization of 96168 in exponential form is:
96168 = 23 × 31 × 40071
Now multiplying the highest exponent prime factors to calculate the LCM of 96155 and 96168.
LCM(96155,96168) = 51 × 192311 × 23 × 31 × 40071
LCM(96155,96168) = 9247034040
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