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What is the Least Common Multiple of 8624 and 8629?

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 8624 and 8629 is 74416496.

LCM(8624,8629) = 74416496

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Least Common Multiple of 8624 and 8629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8624 and 8629, than apply into the LCM equation.

GCF(8624,8629) = 1
LCM(8624,8629) = ( 8624 × 8629) / 1
LCM(8624,8629) = 74416496 / 1
LCM(8624,8629) = 74416496

Least Common Multiple (LCM) of 8624 and 8629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8624 and 8629. First we will calculate the prime factors of 8624 and 8629.

Prime Factorization of 8624

Prime factors of 8624 are 2, 7, 11. Prime factorization of 8624 in exponential form is:

8624 = 24 × 72 × 111

Prime Factorization of 8629

Prime factors of 8629 are 8629. Prime factorization of 8629 in exponential form is:

8629 = 86291

Now multiplying the highest exponent prime factors to calculate the LCM of 8624 and 8629.

LCM(8624,8629) = 24 × 72 × 111 × 86291
LCM(8624,8629) = 74416496