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What is the Least Common Multiple of 53596 and 53610?

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 53596 and 53610 is 1436640780.

LCM(53596,53610) = 1436640780

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Least Common Multiple of 53596 and 53610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53596 and 53610, than apply into the LCM equation.

GCF(53596,53610) = 2
LCM(53596,53610) = ( 53596 × 53610) / 2
LCM(53596,53610) = 2873281560 / 2
LCM(53596,53610) = 1436640780

Least Common Multiple (LCM) of 53596 and 53610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53596 and 53610. First we will calculate the prime factors of 53596 and 53610.

Prime Factorization of 53596

Prime factors of 53596 are 2, 13399. Prime factorization of 53596 in exponential form is:

53596 = 22 × 133991

Prime Factorization of 53610

Prime factors of 53610 are 2, 3, 5, 1787. Prime factorization of 53610 in exponential form is:

53610 = 21 × 31 × 51 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 53596 and 53610.

LCM(53596,53610) = 22 × 133991 × 31 × 51 × 17871
LCM(53596,53610) = 1436640780