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What is the Least Common Multiple of 60603 and 60610?

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 60603 and 60610 is 3673147830.

LCM(60603,60610) = 3673147830

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Least Common Multiple of 60603 and 60610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60603 and 60610, than apply into the LCM equation.

GCF(60603,60610) = 1
LCM(60603,60610) = ( 60603 × 60610) / 1
LCM(60603,60610) = 3673147830 / 1
LCM(60603,60610) = 3673147830

Least Common Multiple (LCM) of 60603 and 60610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60603 and 60610. First we will calculate the prime factors of 60603 and 60610.

Prime Factorization of 60603

Prime factors of 60603 are 3, 20201. Prime factorization of 60603 in exponential form is:

60603 = 31 × 202011

Prime Factorization of 60610

Prime factors of 60610 are 2, 5, 11, 19, 29. Prime factorization of 60610 in exponential form is:

60610 = 21 × 51 × 111 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 60603 and 60610.

LCM(60603,60610) = 31 × 202011 × 21 × 51 × 111 × 191 × 291
LCM(60603,60610) = 3673147830