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What is the Least Common Multiple of 60445 and 60452?

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 60445 and 60452 is 522003020.

LCM(60445,60452) = 522003020

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Least Common Multiple of 60445 and 60452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60445 and 60452, than apply into the LCM equation.

GCF(60445,60452) = 7
LCM(60445,60452) = ( 60445 × 60452) / 7
LCM(60445,60452) = 3654021140 / 7
LCM(60445,60452) = 522003020

Least Common Multiple (LCM) of 60445 and 60452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60445 and 60452. First we will calculate the prime factors of 60445 and 60452.

Prime Factorization of 60445

Prime factors of 60445 are 5, 7, 11, 157. Prime factorization of 60445 in exponential form is:

60445 = 51 × 71 × 111 × 1571

Prime Factorization of 60452

Prime factors of 60452 are 2, 7, 17, 127. Prime factorization of 60452 in exponential form is:

60452 = 22 × 71 × 171 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 60445 and 60452.

LCM(60445,60452) = 51 × 71 × 111 × 1571 × 22 × 171 × 1271
LCM(60445,60452) = 522003020