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What is the Least Common Multiple of 31007 and 31021?

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 31007 and 31021 is 961868147.

LCM(31007,31021) = 961868147

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Least Common Multiple of 31007 and 31021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31007 and 31021, than apply into the LCM equation.

GCF(31007,31021) = 1
LCM(31007,31021) = ( 31007 × 31021) / 1
LCM(31007,31021) = 961868147 / 1
LCM(31007,31021) = 961868147

Least Common Multiple (LCM) of 31007 and 31021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31007 and 31021. First we will calculate the prime factors of 31007 and 31021.

Prime Factorization of 31007

Prime factors of 31007 are 101, 307. Prime factorization of 31007 in exponential form is:

31007 = 1011 × 3071

Prime Factorization of 31021

Prime factors of 31021 are 67, 463. Prime factorization of 31021 in exponential form is:

31021 = 671 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 31007 and 31021.

LCM(31007,31021) = 1011 × 3071 × 671 × 4631
LCM(31007,31021) = 961868147