What is the Least Common Multiple of 54745 and 54759?
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 54745 and 54759 is 2997781455.
LCM(54745,54759) = 2997781455
Least Common Multiple of 54745 and 54759 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54745 and 54759, than apply into the LCM equation.
GCF(54745,54759) = 1
LCM(54745,54759) = ( 54745 × 54759) / 1
LCM(54745,54759) = 2997781455 / 1
LCM(54745,54759) = 2997781455
Least Common Multiple (LCM) of 54745 and 54759 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54745 and 54759. First we will calculate the prime factors of 54745 and 54759.
Prime Factorization of 54745
Prime factors of 54745 are 5, 10949. Prime factorization of 54745 in exponential form is:
54745 = 51 × 109491
Prime Factorization of 54759
Prime factors of 54759 are 3, 18253. Prime factorization of 54759 in exponential form is:
54759 = 31 × 182531
Now multiplying the highest exponent prime factors to calculate the LCM of 54745 and 54759.
LCM(54745,54759) = 51 × 109491 × 31 × 182531
LCM(54745,54759) = 2997781455
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