What is the Least Common Multiple of 71319 and 71325?
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 71319 and 71325 is 1695609225.
LCM(71319,71325) = 1695609225
Least Common Multiple of 71319 and 71325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71319 and 71325, than apply into the LCM equation.
GCF(71319,71325) = 3
LCM(71319,71325) = ( 71319 × 71325) / 3
LCM(71319,71325) = 5086827675 / 3
LCM(71319,71325) = 1695609225
Least Common Multiple (LCM) of 71319 and 71325 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71319 and 71325. First we will calculate the prime factors of 71319 and 71325.
Prime Factorization of 71319
Prime factors of 71319 are 3, 23773. Prime factorization of 71319 in exponential form is:
71319 = 31 × 237731
Prime Factorization of 71325
Prime factors of 71325 are 3, 5, 317. Prime factorization of 71325 in exponential form is:
71325 = 32 × 52 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 71319 and 71325.
LCM(71319,71325) = 32 × 237731 × 52 × 3171
LCM(71319,71325) = 1695609225
Related Least Common Multiples of 71319
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