What is the Least Common Multiple of 44043 and 44048?
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 44043 and 44048 is 1940006064.
LCM(44043,44048) = 1940006064
Least Common Multiple of 44043 and 44048 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44043 and 44048, than apply into the LCM equation.
GCF(44043,44048) = 1
LCM(44043,44048) = ( 44043 × 44048) / 1
LCM(44043,44048) = 1940006064 / 1
LCM(44043,44048) = 1940006064
Least Common Multiple (LCM) of 44043 and 44048 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44043 and 44048. First we will calculate the prime factors of 44043 and 44048.
Prime Factorization of 44043
Prime factors of 44043 are 3, 53, 277. Prime factorization of 44043 in exponential form is:
44043 = 31 × 531 × 2771
Prime Factorization of 44048
Prime factors of 44048 are 2, 2753. Prime factorization of 44048 in exponential form is:
44048 = 24 × 27531
Now multiplying the highest exponent prime factors to calculate the LCM of 44043 and 44048.
LCM(44043,44048) = 31 × 531 × 2771 × 24 × 27531
LCM(44043,44048) = 1940006064
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