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What is the Least Common Multiple of 60547 and 60556?

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 60547 and 60556 is 3666484132.

LCM(60547,60556) = 3666484132

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Least Common Multiple of 60547 and 60556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60547 and 60556, than apply into the LCM equation.

GCF(60547,60556) = 1
LCM(60547,60556) = ( 60547 × 60556) / 1
LCM(60547,60556) = 3666484132 / 1
LCM(60547,60556) = 3666484132

Least Common Multiple (LCM) of 60547 and 60556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60547 and 60556. First we will calculate the prime factors of 60547 and 60556.

Prime Factorization of 60547

Prime factors of 60547 are 191, 317. Prime factorization of 60547 in exponential form is:

60547 = 1911 × 3171

Prime Factorization of 60556

Prime factors of 60556 are 2, 15139. Prime factorization of 60556 in exponential form is:

60556 = 22 × 151391

Now multiplying the highest exponent prime factors to calculate the LCM of 60547 and 60556.

LCM(60547,60556) = 1911 × 3171 × 22 × 151391
LCM(60547,60556) = 3666484132