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What is the Least Common Multiple of 60603 and 60622?

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 60622 is 3673875066.

LCM(60603,60622) = 3673875066

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Least Common Multiple of 60603 and 60622 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 60622, than apply into the LCM equation.

GCF(60603,60622) = 1
LCM(60603,60622) = ( 60603 × 60622) / 1
LCM(60603,60622) = 3673875066 / 1
LCM(60603,60622) = 3673875066

Least Common Multiple (LCM) of 60603 and 60622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60603 and 60622. First we will calculate the prime factors of 60603 and 60622.

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 60622

Prime factors of 60622 are 2, 17, 1783. Prime factorization of 60622 in exponential form is:

60622 = 21 × 171 × 17831

Now multiplying the highest exponent prime factors to calculate the LCM of 60603 and 60622.

LCM(60603,60622) = 31 × 202011 × 21 × 171 × 17831
LCM(60603,60622) = 3673875066