What is the Least Common Multiple of 54735 and 54745?
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 54735 and 54745 is 599293515.
LCM(54735,54745) = 599293515
Least Common Multiple of 54735 and 54745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54735 and 54745, than apply into the LCM equation.
GCF(54735,54745) = 5
LCM(54735,54745) = ( 54735 × 54745) / 5
LCM(54735,54745) = 2996467575 / 5
LCM(54735,54745) = 599293515
Least Common Multiple (LCM) of 54735 and 54745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54735 and 54745. First we will calculate the prime factors of 54735 and 54745.
Prime Factorization of 54735
Prime factors of 54735 are 3, 5, 41, 89. Prime factorization of 54735 in exponential form is:
54735 = 31 × 51 × 411 × 891
Prime Factorization of 54745
Prime factors of 54745 are 5, 10949. Prime factorization of 54745 in exponential form is:
54745 = 51 × 109491
Now multiplying the highest exponent prime factors to calculate the LCM of 54735 and 54745.
LCM(54735,54745) = 31 × 51 × 411 × 891 × 109491
LCM(54735,54745) = 599293515
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