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What is the Least Common Multiple of 30965 and 30973?

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 30965 and 30973 is 959078945.

LCM(30965,30973) = 959078945

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Least Common Multiple of 30965 and 30973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30965 and 30973, than apply into the LCM equation.

GCF(30965,30973) = 1
LCM(30965,30973) = ( 30965 × 30973) / 1
LCM(30965,30973) = 959078945 / 1
LCM(30965,30973) = 959078945

Least Common Multiple (LCM) of 30965 and 30973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30965 and 30973. First we will calculate the prime factors of 30965 and 30973.

Prime Factorization of 30965

Prime factors of 30965 are 5, 11, 563. Prime factorization of 30965 in exponential form is:

30965 = 51 × 111 × 5631

Prime Factorization of 30973

Prime factors of 30973 are 47, 659. Prime factorization of 30973 in exponential form is:

30973 = 471 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 30965 and 30973.

LCM(30965,30973) = 51 × 111 × 5631 × 471 × 6591
LCM(30965,30973) = 959078945