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What is the Least Common Multiple of 7621 and 7636?

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 7636 is 58193956.

LCM(7621,7636) = 58193956

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Least Common Multiple of 7621 and 7636 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 7636, than apply into the LCM equation.

GCF(7621,7636) = 1
LCM(7621,7636) = ( 7621 × 7636) / 1
LCM(7621,7636) = 58193956 / 1
LCM(7621,7636) = 58193956

Least Common Multiple (LCM) of 7621 and 7636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7636. First we will calculate the prime factors of 7621 and 7636.

Prime Factorization of 7621

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

7621 = 76211

Prime Factorization of 7636

Prime factors of 7636 are 2, 23, 83. Prime factorization of 7636 in exponential form is:

7636 = 22 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7636.

LCM(7621,7636) = 76211 × 22 × 231 × 831
LCM(7621,7636) = 58193956