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What is the Least Common Multiple of 30980 and 30987?

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 30980 and 30987 is 959977260.

LCM(30980,30987) = 959977260

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Least Common Multiple of 30980 and 30987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30980 and 30987, than apply into the LCM equation.

GCF(30980,30987) = 1
LCM(30980,30987) = ( 30980 × 30987) / 1
LCM(30980,30987) = 959977260 / 1
LCM(30980,30987) = 959977260

Least Common Multiple (LCM) of 30980 and 30987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30980 and 30987. First we will calculate the prime factors of 30980 and 30987.

Prime Factorization of 30980

Prime factors of 30980 are 2, 5, 1549. Prime factorization of 30980 in exponential form is:

30980 = 22 × 51 × 15491

Prime Factorization of 30987

Prime factors of 30987 are 3, 11, 313. Prime factorization of 30987 in exponential form is:

30987 = 32 × 111 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 30980 and 30987.

LCM(30980,30987) = 22 × 51 × 15491 × 32 × 111 × 3131
LCM(30980,30987) = 959977260