What is the Least Common Multiple of 75026 and 75045?
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 75026 and 75045 is 5630326170.
LCM(75026,75045) = 5630326170
Least Common Multiple of 75026 and 75045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75026 and 75045, than apply into the LCM equation.
GCF(75026,75045) = 1
LCM(75026,75045) = ( 75026 × 75045) / 1
LCM(75026,75045) = 5630326170 / 1
LCM(75026,75045) = 5630326170
Least Common Multiple (LCM) of 75026 and 75045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 75026 and 75045. First we will calculate the prime factors of 75026 and 75045.
Prime Factorization of 75026
Prime factors of 75026 are 2, 7, 23, 233. Prime factorization of 75026 in exponential form is:
75026 = 21 × 71 × 231 × 2331
Prime Factorization of 75045
Prime factors of 75045 are 3, 5, 5003. Prime factorization of 75045 in exponential form is:
75045 = 31 × 51 × 50031
Now multiplying the highest exponent prime factors to calculate the LCM of 75026 and 75045.
LCM(75026,75045) = 21 × 71 × 231 × 2331 × 31 × 51 × 50031
LCM(75026,75045) = 5630326170
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