What is the Least Common Multiple of 54655 and 54669?
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 54655 and 54669 is 2987934195.
LCM(54655,54669) = 2987934195
Least Common Multiple of 54655 and 54669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54655 and 54669, than apply into the LCM equation.
GCF(54655,54669) = 1
LCM(54655,54669) = ( 54655 × 54669) / 1
LCM(54655,54669) = 2987934195 / 1
LCM(54655,54669) = 2987934195
Least Common Multiple (LCM) of 54655 and 54669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54655 and 54669. First we will calculate the prime factors of 54655 and 54669.
Prime Factorization of 54655
Prime factors of 54655 are 5, 17, 643. Prime factorization of 54655 in exponential form is:
54655 = 51 × 171 × 6431
Prime Factorization of 54669
Prime factors of 54669 are 3, 18223. Prime factorization of 54669 in exponential form is:
54669 = 31 × 182231
Now multiplying the highest exponent prime factors to calculate the LCM of 54655 and 54669.
LCM(54655,54669) = 51 × 171 × 6431 × 31 × 182231
LCM(54655,54669) = 2987934195
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