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What is the Least Common Multiple of 54052 and 54062?

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 54052 and 54062 is 1461079612.

LCM(54052,54062) = 1461079612

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Least Common Multiple of 54052 and 54062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54052 and 54062, than apply into the LCM equation.

GCF(54052,54062) = 2
LCM(54052,54062) = ( 54052 × 54062) / 2
LCM(54052,54062) = 2922159224 / 2
LCM(54052,54062) = 1461079612

Least Common Multiple (LCM) of 54052 and 54062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54052 and 54062. First we will calculate the prime factors of 54052 and 54062.

Prime Factorization of 54052

Prime factors of 54052 are 2, 13513. Prime factorization of 54052 in exponential form is:

54052 = 22 × 135131

Prime Factorization of 54062

Prime factors of 54062 are 2, 27031. Prime factorization of 54062 in exponential form is:

54062 = 21 × 270311

Now multiplying the highest exponent prime factors to calculate the LCM of 54052 and 54062.

LCM(54052,54062) = 22 × 135131 × 270311
LCM(54052,54062) = 1461079612