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What is the Least Common Multiple of 7621 and 7634?

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 7621 and 7634 is 58178714.

LCM(7621,7634) = 58178714

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Least Common Multiple of 7621 and 7634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7621 and 7634, than apply into the LCM equation.

GCF(7621,7634) = 1
LCM(7621,7634) = ( 7621 × 7634) / 1
LCM(7621,7634) = 58178714 / 1
LCM(7621,7634) = 58178714

Least Common Multiple (LCM) of 7621 and 7634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7634. First we will calculate the prime factors of 7621 and 7634.

Prime Factorization of 7621

Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:

7621 = 76211

Prime Factorization of 7634

Prime factors of 7634 are 2, 11, 347. Prime factorization of 7634 in exponential form is:

7634 = 21 × 111 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7634.

LCM(7621,7634) = 76211 × 21 × 111 × 3471
LCM(7621,7634) = 58178714