What is the Least Common Multiple of 54062 and 54073?
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 54062 and 54073 is 2923294526.
LCM(54062,54073) = 2923294526
Least Common Multiple of 54062 and 54073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54062 and 54073, than apply into the LCM equation.
GCF(54062,54073) = 1
LCM(54062,54073) = ( 54062 × 54073) / 1
LCM(54062,54073) = 2923294526 / 1
LCM(54062,54073) = 2923294526
Least Common Multiple (LCM) of 54062 and 54073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54062 and 54073. First we will calculate the prime factors of 54062 and 54073.
Prime Factorization of 54062
Prime factors of 54062 are 2, 27031. Prime factorization of 54062 in exponential form is:
54062 = 21 × 270311
Prime Factorization of 54073
Prime factors of 54073 are 23, 2351. Prime factorization of 54073 in exponential form is:
54073 = 231 × 23511
Now multiplying the highest exponent prime factors to calculate the LCM of 54062 and 54073.
LCM(54062,54073) = 21 × 270311 × 231 × 23511
LCM(54062,54073) = 2923294526
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