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What is the Least Common Multiple of 60633 and 60653?

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 60633 and 60653 is 3677573349.

LCM(60633,60653) = 3677573349

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Least Common Multiple of 60633 and 60653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60633 and 60653, than apply into the LCM equation.

GCF(60633,60653) = 1
LCM(60633,60653) = ( 60633 × 60653) / 1
LCM(60633,60653) = 3677573349 / 1
LCM(60633,60653) = 3677573349

Least Common Multiple (LCM) of 60633 and 60653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60633 and 60653. First we will calculate the prime factors of 60633 and 60653.

Prime Factorization of 60633

Prime factors of 60633 are 3, 6737. Prime factorization of 60633 in exponential form is:

60633 = 32 × 67371

Prime Factorization of 60653

Prime factors of 60653 are 131, 463. Prime factorization of 60653 in exponential form is:

60653 = 1311 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 60633 and 60653.

LCM(60633,60653) = 32 × 67371 × 1311 × 4631
LCM(60633,60653) = 3677573349