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What is the Least Common Multiple of 30937 and 30946?

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 30937 and 30946 is 957376402.

LCM(30937,30946) = 957376402

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Least Common Multiple of 30937 and 30946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30937 and 30946, than apply into the LCM equation.

GCF(30937,30946) = 1
LCM(30937,30946) = ( 30937 × 30946) / 1
LCM(30937,30946) = 957376402 / 1
LCM(30937,30946) = 957376402

Least Common Multiple (LCM) of 30937 and 30946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30937 and 30946. First we will calculate the prime factors of 30937 and 30946.

Prime Factorization of 30937

Prime factors of 30937 are 30937. Prime factorization of 30937 in exponential form is:

30937 = 309371

Prime Factorization of 30946

Prime factors of 30946 are 2, 15473. Prime factorization of 30946 in exponential form is:

30946 = 21 × 154731

Now multiplying the highest exponent prime factors to calculate the LCM of 30937 and 30946.

LCM(30937,30946) = 309371 × 21 × 154731
LCM(30937,30946) = 957376402