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What is the Least Common Multiple of 29896 and 29900?

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 29896 and 29900 is 223472600.

LCM(29896,29900) = 223472600

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Least Common Multiple of 29896 and 29900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29896 and 29900, than apply into the LCM equation.

GCF(29896,29900) = 4
LCM(29896,29900) = ( 29896 × 29900) / 4
LCM(29896,29900) = 893890400 / 4
LCM(29896,29900) = 223472600

Least Common Multiple (LCM) of 29896 and 29900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29896 and 29900. First we will calculate the prime factors of 29896 and 29900.

Prime Factorization of 29896

Prime factors of 29896 are 2, 37, 101. Prime factorization of 29896 in exponential form is:

29896 = 23 × 371 × 1011

Prime Factorization of 29900

Prime factors of 29900 are 2, 5, 13, 23. Prime factorization of 29900 in exponential form is:

29900 = 22 × 52 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 29896 and 29900.

LCM(29896,29900) = 23 × 371 × 1011 × 52 × 131 × 231
LCM(29896,29900) = 223472600