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What is the Least Common Multiple of 30764 and 30772?

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 30764 and 30772 is 236667452.

LCM(30764,30772) = 236667452

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Least Common Multiple of 30764 and 30772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30764 and 30772, than apply into the LCM equation.

GCF(30764,30772) = 4
LCM(30764,30772) = ( 30764 × 30772) / 4
LCM(30764,30772) = 946669808 / 4
LCM(30764,30772) = 236667452

Least Common Multiple (LCM) of 30764 and 30772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30764 and 30772. First we will calculate the prime factors of 30764 and 30772.

Prime Factorization of 30764

Prime factors of 30764 are 2, 7691. Prime factorization of 30764 in exponential form is:

30764 = 22 × 76911

Prime Factorization of 30772

Prime factors of 30772 are 2, 7, 157. Prime factorization of 30772 in exponential form is:

30772 = 22 × 72 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 30764 and 30772.

LCM(30764,30772) = 22 × 76911 × 72 × 1571
LCM(30764,30772) = 236667452