What is the Least Common Multiple of 22025 and 22033?
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 22025 and 22033 is 485276825.
LCM(22025,22033) = 485276825
Least Common Multiple of 22025 and 22033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22025 and 22033, than apply into the LCM equation.
GCF(22025,22033) = 1
LCM(22025,22033) = ( 22025 × 22033) / 1
LCM(22025,22033) = 485276825 / 1
LCM(22025,22033) = 485276825
Least Common Multiple (LCM) of 22025 and 22033 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22025 and 22033. First we will calculate the prime factors of 22025 and 22033.
Prime Factorization of 22025
Prime factors of 22025 are 5, 881. Prime factorization of 22025 in exponential form is:
22025 = 52 × 8811
Prime Factorization of 22033
Prime factors of 22033 are 11, 2003. Prime factorization of 22033 in exponential form is:
22033 = 111 × 20031
Now multiplying the highest exponent prime factors to calculate the LCM of 22025 and 22033.
LCM(22025,22033) = 52 × 8811 × 111 × 20031
LCM(22025,22033) = 485276825
Related Least Common Multiples of 22025
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