What is the Least Common Multiple of 43025 and 43037?
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 43025 and 43037 is 1851666925.
LCM(43025,43037) = 1851666925
Least Common Multiple of 43025 and 43037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43025 and 43037, than apply into the LCM equation.
GCF(43025,43037) = 1
LCM(43025,43037) = ( 43025 × 43037) / 1
LCM(43025,43037) = 1851666925 / 1
LCM(43025,43037) = 1851666925
Least Common Multiple (LCM) of 43025 and 43037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43025 and 43037. First we will calculate the prime factors of 43025 and 43037.
Prime Factorization of 43025
Prime factors of 43025 are 5, 1721. Prime factorization of 43025 in exponential form is:
43025 = 52 × 17211
Prime Factorization of 43037
Prime factors of 43037 are 43037. Prime factorization of 43037 in exponential form is:
43037 = 430371
Now multiplying the highest exponent prime factors to calculate the LCM of 43025 and 43037.
LCM(43025,43037) = 52 × 17211 × 430371
LCM(43025,43037) = 1851666925
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