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What is the Least Common Multiple of 53673 and 53693?

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 53673 and 53693 is 2881864389.

LCM(53673,53693) = 2881864389

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Least Common Multiple of 53673 and 53693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53673 and 53693, than apply into the LCM equation.

GCF(53673,53693) = 1
LCM(53673,53693) = ( 53673 × 53693) / 1
LCM(53673,53693) = 2881864389 / 1
LCM(53673,53693) = 2881864389

Least Common Multiple (LCM) of 53673 and 53693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53673 and 53693. First we will calculate the prime factors of 53673 and 53693.

Prime Factorization of 53673

Prime factors of 53673 are 3, 17891. Prime factorization of 53673 in exponential form is:

53673 = 31 × 178911

Prime Factorization of 53693

Prime factors of 53693 are 53693. Prime factorization of 53693 in exponential form is:

53693 = 536931

Now multiplying the highest exponent prime factors to calculate the LCM of 53673 and 53693.

LCM(53673,53693) = 31 × 178911 × 536931
LCM(53673,53693) = 2881864389