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What is the Least Common Multiple of 53016 and 53033?

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 53016 and 53033 is 2811597528.

LCM(53016,53033) = 2811597528

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Least Common Multiple of 53016 and 53033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53016 and 53033, than apply into the LCM equation.

GCF(53016,53033) = 1
LCM(53016,53033) = ( 53016 × 53033) / 1
LCM(53016,53033) = 2811597528 / 1
LCM(53016,53033) = 2811597528

Least Common Multiple (LCM) of 53016 and 53033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53016 and 53033. First we will calculate the prime factors of 53016 and 53033.

Prime Factorization of 53016

Prime factors of 53016 are 2, 3, 47. Prime factorization of 53016 in exponential form is:

53016 = 23 × 31 × 472

Prime Factorization of 53033

Prime factors of 53033 are 181, 293. Prime factorization of 53033 in exponential form is:

53033 = 1811 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 53016 and 53033.

LCM(53016,53033) = 23 × 31 × 472 × 1811 × 2931
LCM(53016,53033) = 2811597528