What is the Least Common Multiple of 54628 and 54644?
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 54628 and 54644 is 746273108.
LCM(54628,54644) = 746273108
Least Common Multiple of 54628 and 54644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54628 and 54644, than apply into the LCM equation.
GCF(54628,54644) = 4
LCM(54628,54644) = ( 54628 × 54644) / 4
LCM(54628,54644) = 2985092432 / 4
LCM(54628,54644) = 746273108
Least Common Multiple (LCM) of 54628 and 54644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54628 and 54644. First we will calculate the prime factors of 54628 and 54644.
Prime Factorization of 54628
Prime factors of 54628 are 2, 7, 1951. Prime factorization of 54628 in exponential form is:
54628 = 22 × 71 × 19511
Prime Factorization of 54644
Prime factors of 54644 are 2, 19, 719. Prime factorization of 54644 in exponential form is:
54644 = 22 × 191 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 54628 and 54644.
LCM(54628,54644) = 22 × 71 × 19511 × 191 × 7191
LCM(54628,54644) = 746273108
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