What is the Least Common Multiple of 45544 and 45548?
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 45544 and 45548 is 518609528.
LCM(45544,45548) = 518609528
Least Common Multiple of 45544 and 45548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45544 and 45548, than apply into the LCM equation.
GCF(45544,45548) = 4
LCM(45544,45548) = ( 45544 × 45548) / 4
LCM(45544,45548) = 2074438112 / 4
LCM(45544,45548) = 518609528
Least Common Multiple (LCM) of 45544 and 45548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45544 and 45548. First we will calculate the prime factors of 45544 and 45548.
Prime Factorization of 45544
Prime factors of 45544 are 2, 5693. Prime factorization of 45544 in exponential form is:
45544 = 23 × 56931
Prime Factorization of 45548
Prime factors of 45548 are 2, 59, 193. Prime factorization of 45548 in exponential form is:
45548 = 22 × 591 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 45544 and 45548.
LCM(45544,45548) = 23 × 56931 × 591 × 1931
LCM(45544,45548) = 518609528
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