What is the Least Common Multiple of 45468 and 45488?
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 45468 and 45488 is 517062096.
LCM(45468,45488) = 517062096
Least Common Multiple of 45468 and 45488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45468 and 45488, than apply into the LCM equation.
GCF(45468,45488) = 4
LCM(45468,45488) = ( 45468 × 45488) / 4
LCM(45468,45488) = 2068248384 / 4
LCM(45468,45488) = 517062096
Least Common Multiple (LCM) of 45468 and 45488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45468 and 45488. First we will calculate the prime factors of 45468 and 45488.
Prime Factorization of 45468
Prime factors of 45468 are 2, 3, 421. Prime factorization of 45468 in exponential form is:
45468 = 22 × 33 × 4211
Prime Factorization of 45488
Prime factors of 45488 are 2, 2843. Prime factorization of 45488 in exponential form is:
45488 = 24 × 28431
Now multiplying the highest exponent prime factors to calculate the LCM of 45468 and 45488.
LCM(45468,45488) = 24 × 33 × 4211 × 28431
LCM(45468,45488) = 517062096
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