What is the Least Common Multiple of 54791 and 54802?
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 54791 and 54802 is 272968762.
LCM(54791,54802) = 272968762
Least Common Multiple of 54791 and 54802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54791 and 54802, than apply into the LCM equation.
GCF(54791,54802) = 11
LCM(54791,54802) = ( 54791 × 54802) / 11
LCM(54791,54802) = 3002656382 / 11
LCM(54791,54802) = 272968762
Least Common Multiple (LCM) of 54791 and 54802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54791 and 54802. First we will calculate the prime factors of 54791 and 54802.
Prime Factorization of 54791
Prime factors of 54791 are 11, 17, 293. Prime factorization of 54791 in exponential form is:
54791 = 111 × 171 × 2931
Prime Factorization of 54802
Prime factors of 54802 are 2, 11, 47, 53. Prime factorization of 54802 in exponential form is:
54802 = 21 × 111 × 471 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 54791 and 54802.
LCM(54791,54802) = 111 × 171 × 2931 × 21 × 471 × 531
LCM(54791,54802) = 272968762
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