What is the Least Common Multiple of 54646 and 54650?
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 54646 and 54650 is 1493201950.
LCM(54646,54650) = 1493201950
Least Common Multiple of 54646 and 54650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54646 and 54650, than apply into the LCM equation.
GCF(54646,54650) = 2
LCM(54646,54650) = ( 54646 × 54650) / 2
LCM(54646,54650) = 2986403900 / 2
LCM(54646,54650) = 1493201950
Least Common Multiple (LCM) of 54646 and 54650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54646 and 54650. First we will calculate the prime factors of 54646 and 54650.
Prime Factorization of 54646
Prime factors of 54646 are 2, 89, 307. Prime factorization of 54646 in exponential form is:
54646 = 21 × 891 × 3071
Prime Factorization of 54650
Prime factors of 54650 are 2, 5, 1093. Prime factorization of 54650 in exponential form is:
54650 = 21 × 52 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 54646 and 54650.
LCM(54646,54650) = 21 × 891 × 3071 × 52 × 10931
LCM(54646,54650) = 1493201950
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