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What is the Least Common Multiple of 60562 and 60577?

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 60562 and 60577 is 3668664274.

LCM(60562,60577) = 3668664274

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Least Common Multiple of 60562 and 60577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60562 and 60577, than apply into the LCM equation.

GCF(60562,60577) = 1
LCM(60562,60577) = ( 60562 × 60577) / 1
LCM(60562,60577) = 3668664274 / 1
LCM(60562,60577) = 3668664274

Least Common Multiple (LCM) of 60562 and 60577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60562 and 60577. First we will calculate the prime factors of 60562 and 60577.

Prime Factorization of 60562

Prime factors of 60562 are 2, 107, 283. Prime factorization of 60562 in exponential form is:

60562 = 21 × 1071 × 2831

Prime Factorization of 60577

Prime factors of 60577 are 11, 5507. Prime factorization of 60577 in exponential form is:

60577 = 111 × 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 60562 and 60577.

LCM(60562,60577) = 21 × 1071 × 2831 × 111 × 55071
LCM(60562,60577) = 3668664274