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What is the Least Common Multiple of 52996 and 53006?

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 52996 and 53006 is 1404552988.

LCM(52996,53006) = 1404552988

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Least Common Multiple of 52996 and 53006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52996 and 53006, than apply into the LCM equation.

GCF(52996,53006) = 2
LCM(52996,53006) = ( 52996 × 53006) / 2
LCM(52996,53006) = 2809105976 / 2
LCM(52996,53006) = 1404552988

Least Common Multiple (LCM) of 52996 and 53006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52996 and 53006. First we will calculate the prime factors of 52996 and 53006.

Prime Factorization of 52996

Prime factors of 52996 are 2, 13249. Prime factorization of 52996 in exponential form is:

52996 = 22 × 132491

Prime Factorization of 53006

Prime factors of 53006 are 2, 17, 1559. Prime factorization of 53006 in exponential form is:

53006 = 21 × 171 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 52996 and 53006.

LCM(52996,53006) = 22 × 132491 × 171 × 15591
LCM(52996,53006) = 1404552988