What is the Least Common Multiple of 96137 and 96155?
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 96137 and 96155 is 9244053235.
LCM(96137,96155) = 9244053235
Least Common Multiple of 96137 and 96155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96137 and 96155, than apply into the LCM equation.
GCF(96137,96155) = 1
LCM(96137,96155) = ( 96137 × 96155) / 1
LCM(96137,96155) = 9244053235 / 1
LCM(96137,96155) = 9244053235
Least Common Multiple (LCM) of 96137 and 96155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96137 and 96155. First we will calculate the prime factors of 96137 and 96155.
Prime Factorization of 96137
Prime factors of 96137 are 96137. Prime factorization of 96137 in exponential form is:
96137 = 961371
Prime Factorization of 96155
Prime factors of 96155 are 5, 19231. Prime factorization of 96155 in exponential form is:
96155 = 51 × 192311
Now multiplying the highest exponent prime factors to calculate the LCM of 96137 and 96155.
LCM(96137,96155) = 961371 × 51 × 192311
LCM(96137,96155) = 9244053235
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