What is the Least Common Multiple of 45213 and 45232?
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 45213 and 45232 is 2045074416.
LCM(45213,45232) = 2045074416
Least Common Multiple of 45213 and 45232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45213 and 45232, than apply into the LCM equation.
GCF(45213,45232) = 1
LCM(45213,45232) = ( 45213 × 45232) / 1
LCM(45213,45232) = 2045074416 / 1
LCM(45213,45232) = 2045074416
Least Common Multiple (LCM) of 45213 and 45232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45213 and 45232. First we will calculate the prime factors of 45213 and 45232.
Prime Factorization of 45213
Prime factors of 45213 are 3, 7, 2153. Prime factorization of 45213 in exponential form is:
45213 = 31 × 71 × 21531
Prime Factorization of 45232
Prime factors of 45232 are 2, 11, 257. Prime factorization of 45232 in exponential form is:
45232 = 24 × 111 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 45213 and 45232.
LCM(45213,45232) = 31 × 71 × 21531 × 24 × 111 × 2571
LCM(45213,45232) = 2045074416
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Related Least Common Multiples of 45232
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