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What is the Least Common Multiple of 3634 and 3653?

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 3634 and 3653 is 13275002.

LCM(3634,3653) = 13275002

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Least Common Multiple of 3634 and 3653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3634 and 3653, than apply into the LCM equation.

GCF(3634,3653) = 1
LCM(3634,3653) = ( 3634 × 3653) / 1
LCM(3634,3653) = 13275002 / 1
LCM(3634,3653) = 13275002

Least Common Multiple (LCM) of 3634 and 3653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3634 and 3653. First we will calculate the prime factors of 3634 and 3653.

Prime Factorization of 3634

Prime factors of 3634 are 2, 23, 79. Prime factorization of 3634 in exponential form is:

3634 = 21 × 231 × 791

Prime Factorization of 3653

Prime factors of 3653 are 13, 281. Prime factorization of 3653 in exponential form is:

3653 = 131 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 3634 and 3653.

LCM(3634,3653) = 21 × 231 × 791 × 131 × 2811
LCM(3634,3653) = 13275002