What is the Least Common Multiple of 54596 and 54612?
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 54596 and 54612 is 745399188.
LCM(54596,54612) = 745399188
Least Common Multiple of 54596 and 54612 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54596 and 54612, than apply into the LCM equation.
GCF(54596,54612) = 4
LCM(54596,54612) = ( 54596 × 54612) / 4
LCM(54596,54612) = 2981596752 / 4
LCM(54596,54612) = 745399188
Least Common Multiple (LCM) of 54596 and 54612 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54596 and 54612. First we will calculate the prime factors of 54596 and 54612.
Prime Factorization of 54596
Prime factors of 54596 are 2, 13649. Prime factorization of 54596 in exponential form is:
54596 = 22 × 136491
Prime Factorization of 54612
Prime factors of 54612 are 2, 3, 37, 41. Prime factorization of 54612 in exponential form is:
54612 = 22 × 32 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 54596 and 54612.
LCM(54596,54612) = 22 × 136491 × 32 × 371 × 411
LCM(54596,54612) = 745399188
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