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What is the Least Common Multiple of 30948 and 30968?

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 30968 is 239599416.

LCM(30948,30968) = 239599416

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Least Common Multiple of 30948 and 30968 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 30968, than apply into the LCM equation.

GCF(30948,30968) = 4
LCM(30948,30968) = ( 30948 × 30968) / 4
LCM(30948,30968) = 958397664 / 4
LCM(30948,30968) = 239599416

Least Common Multiple (LCM) of 30948 and 30968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30948 and 30968. First we will calculate the prime factors of 30948 and 30968.

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 30968

Prime factors of 30968 are 2, 7, 79. Prime factorization of 30968 in exponential form is:

30968 = 23 × 72 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 30948 and 30968.

LCM(30948,30968) = 23 × 31 × 25791 × 72 × 791
LCM(30948,30968) = 239599416