What is the Least Common Multiple of 54073 and 54092?
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 54073 and 54092 is 2924916716.
LCM(54073,54092) = 2924916716
Least Common Multiple of 54073 and 54092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54073 and 54092, than apply into the LCM equation.
GCF(54073,54092) = 1
LCM(54073,54092) = ( 54073 × 54092) / 1
LCM(54073,54092) = 2924916716 / 1
LCM(54073,54092) = 2924916716
Least Common Multiple (LCM) of 54073 and 54092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54073 and 54092. First we will calculate the prime factors of 54073 and 54092.
Prime Factorization of 54073
Prime factors of 54073 are 23, 2351. Prime factorization of 54073 in exponential form is:
54073 = 231 × 23511
Prime Factorization of 54092
Prime factors of 54092 are 2, 13523. Prime factorization of 54092 in exponential form is:
54092 = 22 × 135231
Now multiplying the highest exponent prime factors to calculate the LCM of 54073 and 54092.
LCM(54073,54092) = 231 × 23511 × 22 × 135231
LCM(54073,54092) = 2924916716
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