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What is the Least Common Multiple of 30611 and 30629?

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 30611 and 30629 is 937584319.

LCM(30611,30629) = 937584319

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Least Common Multiple of 30611 and 30629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30611 and 30629, than apply into the LCM equation.

GCF(30611,30629) = 1
LCM(30611,30629) = ( 30611 × 30629) / 1
LCM(30611,30629) = 937584319 / 1
LCM(30611,30629) = 937584319

Least Common Multiple (LCM) of 30611 and 30629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30611 and 30629. First we will calculate the prime factors of 30611 and 30629.

Prime Factorization of 30611

Prime factors of 30611 are 7, 4373. Prime factorization of 30611 in exponential form is:

30611 = 71 × 43731

Prime Factorization of 30629

Prime factors of 30629 are 109, 281. Prime factorization of 30629 in exponential form is:

30629 = 1091 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 30611 and 30629.

LCM(30611,30629) = 71 × 43731 × 1091 × 2811
LCM(30611,30629) = 937584319