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What is the Least Common Multiple of 30769 and 30789?

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 30769 and 30789 is 947346741.

LCM(30769,30789) = 947346741

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Least Common Multiple of 30769 and 30789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30769 and 30789, than apply into the LCM equation.

GCF(30769,30789) = 1
LCM(30769,30789) = ( 30769 × 30789) / 1
LCM(30769,30789) = 947346741 / 1
LCM(30769,30789) = 947346741

Least Common Multiple (LCM) of 30769 and 30789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30769 and 30789. First we will calculate the prime factors of 30769 and 30789.

Prime Factorization of 30769

Prime factors of 30769 are 29, 1061. Prime factorization of 30769 in exponential form is:

30769 = 291 × 10611

Prime Factorization of 30789

Prime factors of 30789 are 3, 11, 311. Prime factorization of 30789 in exponential form is:

30789 = 32 × 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 30769 and 30789.

LCM(30769,30789) = 291 × 10611 × 32 × 111 × 3111
LCM(30769,30789) = 947346741