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What is the Least Common Multiple of 60548 and 60555?

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 60548 and 60555 is 3666484140.

LCM(60548,60555) = 3666484140

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Least Common Multiple of 60548 and 60555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60548 and 60555, than apply into the LCM equation.

GCF(60548,60555) = 1
LCM(60548,60555) = ( 60548 × 60555) / 1
LCM(60548,60555) = 3666484140 / 1
LCM(60548,60555) = 3666484140

Least Common Multiple (LCM) of 60548 and 60555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60548 and 60555. First we will calculate the prime factors of 60548 and 60555.

Prime Factorization of 60548

Prime factors of 60548 are 2, 15137. Prime factorization of 60548 in exponential form is:

60548 = 22 × 151371

Prime Factorization of 60555

Prime factors of 60555 are 3, 5, 11, 367. Prime factorization of 60555 in exponential form is:

60555 = 31 × 51 × 111 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 60548 and 60555.

LCM(60548,60555) = 22 × 151371 × 31 × 51 × 111 × 3671
LCM(60548,60555) = 3666484140