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What is the Least Common Multiple of 29949 and 29967?

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 29949 and 29967 is 299160561.

LCM(29949,29967) = 299160561

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Least Common Multiple of 29949 and 29967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29949 and 29967, than apply into the LCM equation.

GCF(29949,29967) = 3
LCM(29949,29967) = ( 29949 × 29967) / 3
LCM(29949,29967) = 897481683 / 3
LCM(29949,29967) = 299160561

Least Common Multiple (LCM) of 29949 and 29967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29949 and 29967. First we will calculate the prime factors of 29949 and 29967.

Prime Factorization of 29949

Prime factors of 29949 are 3, 67, 149. Prime factorization of 29949 in exponential form is:

29949 = 31 × 671 × 1491

Prime Factorization of 29967

Prime factors of 29967 are 3, 7, 1427. Prime factorization of 29967 in exponential form is:

29967 = 31 × 71 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 29949 and 29967.

LCM(29949,29967) = 31 × 671 × 1491 × 71 × 14271
LCM(29949,29967) = 299160561