What is the Least Common Multiple of 96152 and 96163?
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 96152 and 96163 is 9246264776.
LCM(96152,96163) = 9246264776
Least Common Multiple of 96152 and 96163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96152 and 96163, than apply into the LCM equation.
GCF(96152,96163) = 1
LCM(96152,96163) = ( 96152 × 96163) / 1
LCM(96152,96163) = 9246264776 / 1
LCM(96152,96163) = 9246264776
Least Common Multiple (LCM) of 96152 and 96163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96152 and 96163. First we will calculate the prime factors of 96152 and 96163.
Prime Factorization of 96152
Prime factors of 96152 are 2, 7, 17, 101. Prime factorization of 96152 in exponential form is:
96152 = 23 × 71 × 171 × 1011
Prime Factorization of 96163
Prime factors of 96163 are 23, 37, 113. Prime factorization of 96163 in exponential form is:
96163 = 231 × 371 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 96152 and 96163.
LCM(96152,96163) = 23 × 71 × 171 × 1011 × 231 × 371 × 1131
LCM(96152,96163) = 9246264776
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