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What is the Least Common Multiple of 53401 and 53416?

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 53401 and 53416 is 2852467816.

LCM(53401,53416) = 2852467816

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Least Common Multiple of 53401 and 53416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53401 and 53416, than apply into the LCM equation.

GCF(53401,53416) = 1
LCM(53401,53416) = ( 53401 × 53416) / 1
LCM(53401,53416) = 2852467816 / 1
LCM(53401,53416) = 2852467816

Least Common Multiple (LCM) of 53401 and 53416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53401 and 53416. First we will calculate the prime factors of 53401 and 53416.

Prime Factorization of 53401

Prime factors of 53401 are 53401. Prime factorization of 53401 in exponential form is:

53401 = 534011

Prime Factorization of 53416

Prime factors of 53416 are 2, 11, 607. Prime factorization of 53416 in exponential form is:

53416 = 23 × 111 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 53401 and 53416.

LCM(53401,53416) = 534011 × 23 × 111 × 6071
LCM(53401,53416) = 2852467816