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What is the Least Common Multiple of 29956 and 29968?

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 29956 and 29968 is 224430352.

LCM(29956,29968) = 224430352

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Least Common Multiple of 29956 and 29968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29956 and 29968, than apply into the LCM equation.

GCF(29956,29968) = 4
LCM(29956,29968) = ( 29956 × 29968) / 4
LCM(29956,29968) = 897721408 / 4
LCM(29956,29968) = 224430352

Least Common Multiple (LCM) of 29956 and 29968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29956 and 29968. First we will calculate the prime factors of 29956 and 29968.

Prime Factorization of 29956

Prime factors of 29956 are 2, 7489. Prime factorization of 29956 in exponential form is:

29956 = 22 × 74891

Prime Factorization of 29968

Prime factors of 29968 are 2, 1873. Prime factorization of 29968 in exponential form is:

29968 = 24 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 29956 and 29968.

LCM(29956,29968) = 24 × 74891 × 18731
LCM(29956,29968) = 224430352