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What is the Least Common Multiple of 29950 and 29954?

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 29950 and 29954 is 448561150.

LCM(29950,29954) = 448561150

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Least Common Multiple of 29950 and 29954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29950 and 29954, than apply into the LCM equation.

GCF(29950,29954) = 2
LCM(29950,29954) = ( 29950 × 29954) / 2
LCM(29950,29954) = 897122300 / 2
LCM(29950,29954) = 448561150

Least Common Multiple (LCM) of 29950 and 29954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29950 and 29954. First we will calculate the prime factors of 29950 and 29954.

Prime Factorization of 29950

Prime factors of 29950 are 2, 5, 599. Prime factorization of 29950 in exponential form is:

29950 = 21 × 52 × 5991

Prime Factorization of 29954

Prime factors of 29954 are 2, 17, 881. Prime factorization of 29954 in exponential form is:

29954 = 21 × 171 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 29950 and 29954.

LCM(29950,29954) = 21 × 52 × 5991 × 171 × 8811
LCM(29950,29954) = 448561150