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What is the Least Common Multiple of 29987 and 30002?

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 29987 and 30002 is 899669974.

LCM(29987,30002) = 899669974

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Least Common Multiple of 29987 and 30002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29987 and 30002, than apply into the LCM equation.

GCF(29987,30002) = 1
LCM(29987,30002) = ( 29987 × 30002) / 1
LCM(29987,30002) = 899669974 / 1
LCM(29987,30002) = 899669974

Least Common Multiple (LCM) of 29987 and 30002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29987 and 30002. First we will calculate the prime factors of 29987 and 30002.

Prime Factorization of 29987

Prime factors of 29987 are 157, 191. Prime factorization of 29987 in exponential form is:

29987 = 1571 × 1911

Prime Factorization of 30002

Prime factors of 30002 are 2, 7, 2143. Prime factorization of 30002 in exponential form is:

30002 = 21 × 71 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 29987 and 30002.

LCM(29987,30002) = 1571 × 1911 × 21 × 71 × 21431
LCM(29987,30002) = 899669974