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What is the Least Common Multiple of 65642 and 65662?

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 65642 and 65662 is 2155092502.

LCM(65642,65662) = 2155092502

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Least Common Multiple of 65642 and 65662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65642 and 65662, than apply into the LCM equation.

GCF(65642,65662) = 2
LCM(65642,65662) = ( 65642 × 65662) / 2
LCM(65642,65662) = 4310185004 / 2
LCM(65642,65662) = 2155092502

Least Common Multiple (LCM) of 65642 and 65662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65642 and 65662. First we will calculate the prime factors of 65642 and 65662.

Prime Factorization of 65642

Prime factors of 65642 are 2, 23, 1427. Prime factorization of 65642 in exponential form is:

65642 = 21 × 231 × 14271

Prime Factorization of 65662

Prime factors of 65662 are 2, 32831. Prime factorization of 65662 in exponential form is:

65662 = 21 × 328311

Now multiplying the highest exponent prime factors to calculate the LCM of 65642 and 65662.

LCM(65642,65662) = 21 × 231 × 14271 × 328311
LCM(65642,65662) = 2155092502