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What is the Least Common Multiple of 29963 and 29980?

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 29963 and 29980 is 898290740.

LCM(29963,29980) = 898290740

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Least Common Multiple of 29963 and 29980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29963 and 29980, than apply into the LCM equation.

GCF(29963,29980) = 1
LCM(29963,29980) = ( 29963 × 29980) / 1
LCM(29963,29980) = 898290740 / 1
LCM(29963,29980) = 898290740

Least Common Multiple (LCM) of 29963 and 29980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29963 and 29980. First we will calculate the prime factors of 29963 and 29980.

Prime Factorization of 29963

Prime factors of 29963 are 19, 83. Prime factorization of 29963 in exponential form is:

29963 = 192 × 831

Prime Factorization of 29980

Prime factors of 29980 are 2, 5, 1499. Prime factorization of 29980 in exponential form is:

29980 = 22 × 51 × 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 29963 and 29980.

LCM(29963,29980) = 192 × 831 × 22 × 51 × 14991
LCM(29963,29980) = 898290740