What is the Least Common Multiple of 54716 and 54720?
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 54716 and 54720 is 748514880.
LCM(54716,54720) = 748514880
Least Common Multiple of 54716 and 54720 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54716 and 54720, than apply into the LCM equation.
GCF(54716,54720) = 4
LCM(54716,54720) = ( 54716 × 54720) / 4
LCM(54716,54720) = 2994059520 / 4
LCM(54716,54720) = 748514880
Least Common Multiple (LCM) of 54716 and 54720 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54716 and 54720. First we will calculate the prime factors of 54716 and 54720.
Prime Factorization of 54716
Prime factors of 54716 are 2, 13679. Prime factorization of 54716 in exponential form is:
54716 = 22 × 136791
Prime Factorization of 54720
Prime factors of 54720 are 2, 3, 5, 19. Prime factorization of 54720 in exponential form is:
54720 = 26 × 32 × 51 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 54716 and 54720.
LCM(54716,54720) = 26 × 136791 × 32 × 51 × 191
LCM(54716,54720) = 748514880
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