What is the Least Common Multiple of 54745 and 54762?
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 54762 is 2997945690.
LCM(54745,54762) = 2997945690
Least Common Multiple of 54745 and 54762 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 54762, than apply into the LCM equation.
GCF(54745,54762) = 1
LCM(54745,54762) = ( 54745 × 54762) / 1
LCM(54745,54762) = 2997945690 / 1
LCM(54745,54762) = 2997945690
Least Common Multiple (LCM) of 54745 and 54762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54745 and 54762. First we will calculate the prime factors of 54745 and 54762.
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 54762
Prime factors of 54762 are 2, 3, 9127. Prime factorization of 54762 in exponential form is:
54762 = 21 × 31 × 91271
Now multiplying the highest exponent prime factors to calculate the LCM of 54745 and 54762.
LCM(54745,54762) = 51 × 109491 × 21 × 31 × 91271
LCM(54745,54762) = 2997945690
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