What is the Least Common Multiple of 54720 and 54733?
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 54720 and 54733 is 2994989760.
LCM(54720,54733) = 2994989760
Least Common Multiple of 54720 and 54733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54720 and 54733, than apply into the LCM equation.
GCF(54720,54733) = 1
LCM(54720,54733) = ( 54720 × 54733) / 1
LCM(54720,54733) = 2994989760 / 1
LCM(54720,54733) = 2994989760
Least Common Multiple (LCM) of 54720 and 54733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54720 and 54733. First we will calculate the prime factors of 54720 and 54733.
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
Prime Factorization of 54733
Prime factors of 54733 are 7, 1117. Prime factorization of 54733 in exponential form is:
54733 = 72 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 54720 and 54733.
LCM(54720,54733) = 26 × 32 × 51 × 191 × 72 × 11171
LCM(54720,54733) = 2994989760
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