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What is the Least Common Multiple of 30948 and 30967?

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 30948 and 30967 is 958366716.

LCM(30948,30967) = 958366716

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Least Common Multiple of 30948 and 30967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30948 and 30967, than apply into the LCM equation.

GCF(30948,30967) = 1
LCM(30948,30967) = ( 30948 × 30967) / 1
LCM(30948,30967) = 958366716 / 1
LCM(30948,30967) = 958366716

Least Common Multiple (LCM) of 30948 and 30967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30948 and 30967. First we will calculate the prime factors of 30948 and 30967.

Prime Factorization of 30948

Prime factors of 30948 are 2, 3, 2579. Prime factorization of 30948 in exponential form is:

30948 = 22 × 31 × 25791

Prime Factorization of 30967

Prime factors of 30967 are 173, 179. Prime factorization of 30967 in exponential form is:

30967 = 1731 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 30948 and 30967.

LCM(30948,30967) = 22 × 31 × 25791 × 1731 × 1791
LCM(30948,30967) = 958366716