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What is the Least Common Multiple of 30988 and 31006?

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 30988 and 31006 is 480406964.

LCM(30988,31006) = 480406964

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Least Common Multiple of 30988 and 31006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30988 and 31006, than apply into the LCM equation.

GCF(30988,31006) = 2
LCM(30988,31006) = ( 30988 × 31006) / 2
LCM(30988,31006) = 960813928 / 2
LCM(30988,31006) = 480406964

Least Common Multiple (LCM) of 30988 and 31006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30988 and 31006. First we will calculate the prime factors of 30988 and 31006.

Prime Factorization of 30988

Prime factors of 30988 are 2, 61, 127. Prime factorization of 30988 in exponential form is:

30988 = 22 × 611 × 1271

Prime Factorization of 31006

Prime factors of 31006 are 2, 37, 419. Prime factorization of 31006 in exponential form is:

31006 = 21 × 371 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 30988 and 31006.

LCM(30988,31006) = 22 × 611 × 1271 × 371 × 4191
LCM(30988,31006) = 480406964