What is the Least Common Multiple of 93170 and 93176?
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 93170 and 93176 is 4340603960.
LCM(93170,93176) = 4340603960
Least Common Multiple of 93170 and 93176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93170 and 93176, than apply into the LCM equation.
GCF(93170,93176) = 2
LCM(93170,93176) = ( 93170 × 93176) / 2
LCM(93170,93176) = 8681207920 / 2
LCM(93170,93176) = 4340603960
Least Common Multiple (LCM) of 93170 and 93176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93170 and 93176. First we will calculate the prime factors of 93170 and 93176.
Prime Factorization of 93170
Prime factors of 93170 are 2, 5, 7, 11. Prime factorization of 93170 in exponential form is:
93170 = 21 × 51 × 71 × 113
Prime Factorization of 93176
Prime factors of 93176 are 2, 19, 613. Prime factorization of 93176 in exponential form is:
93176 = 23 × 191 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 93170 and 93176.
LCM(93170,93176) = 23 × 51 × 71 × 113 × 191 × 6131
LCM(93170,93176) = 4340603960
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