What is the Least Common Multiple of 54784 and 54798?
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 54784 and 54798 is 1501026816.
LCM(54784,54798) = 1501026816
Least Common Multiple of 54784 and 54798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54784 and 54798, than apply into the LCM equation.
GCF(54784,54798) = 2
LCM(54784,54798) = ( 54784 × 54798) / 2
LCM(54784,54798) = 3002053632 / 2
LCM(54784,54798) = 1501026816
Least Common Multiple (LCM) of 54784 and 54798 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54784 and 54798. First we will calculate the prime factors of 54784 and 54798.
Prime Factorization of 54784
Prime factors of 54784 are 2, 107. Prime factorization of 54784 in exponential form is:
54784 = 29 × 1071
Prime Factorization of 54798
Prime factors of 54798 are 2, 3, 9133. Prime factorization of 54798 in exponential form is:
54798 = 21 × 31 × 91331
Now multiplying the highest exponent prime factors to calculate the LCM of 54784 and 54798.
LCM(54784,54798) = 29 × 1071 × 31 × 91331
LCM(54784,54798) = 1501026816
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