What is the Least Common Multiple of 54906 and 54916?
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 54906 and 54916 is 1507608948.
LCM(54906,54916) = 1507608948
Least Common Multiple of 54906 and 54916 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54906 and 54916, than apply into the LCM equation.
GCF(54906,54916) = 2
LCM(54906,54916) = ( 54906 × 54916) / 2
LCM(54906,54916) = 3015217896 / 2
LCM(54906,54916) = 1507608948
Least Common Multiple (LCM) of 54906 and 54916 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54906 and 54916. First we will calculate the prime factors of 54906 and 54916.
Prime Factorization of 54906
Prime factors of 54906 are 2, 3, 9151. Prime factorization of 54906 in exponential form is:
54906 = 21 × 31 × 91511
Prime Factorization of 54916
Prime factors of 54916 are 2, 13729. Prime factorization of 54916 in exponential form is:
54916 = 22 × 137291
Now multiplying the highest exponent prime factors to calculate the LCM of 54906 and 54916.
LCM(54906,54916) = 22 × 31 × 91511 × 137291
LCM(54906,54916) = 1507608948
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