What is the Least Common Multiple of 2025 and 2044?
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 2025 and 2044 is 4139100.
LCM(2025,2044) = 4139100
Least Common Multiple of 2025 and 2044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2025 and 2044, than apply into the LCM equation.
GCF(2025,2044) = 1
LCM(2025,2044) = ( 2025 × 2044) / 1
LCM(2025,2044) = 4139100 / 1
LCM(2025,2044) = 4139100
Least Common Multiple (LCM) of 2025 and 2044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2044. First we will calculate the prime factors of 2025 and 2044.
Prime Factorization of 2025
Prime factors of 2025 are 3, 5. Prime factorization of 2025 in exponential form is:
2025 = 34 × 52
Prime Factorization of 2044
Prime factors of 2044 are 2, 7, 73. Prime factorization of 2044 in exponential form is:
2044 = 22 × 71 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2044.
LCM(2025,2044) = 34 × 52 × 22 × 71 × 731
LCM(2025,2044) = 4139100
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