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What is the Least Common Multiple of 65402 and 65414?

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 65402 and 65414 is 2139103214.

LCM(65402,65414) = 2139103214

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Least Common Multiple of 65402 and 65414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65402 and 65414, than apply into the LCM equation.

GCF(65402,65414) = 2
LCM(65402,65414) = ( 65402 × 65414) / 2
LCM(65402,65414) = 4278206428 / 2
LCM(65402,65414) = 2139103214

Least Common Multiple (LCM) of 65402 and 65414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65402 and 65414. First we will calculate the prime factors of 65402 and 65414.

Prime Factorization of 65402

Prime factors of 65402 are 2, 53, 617. Prime factorization of 65402 in exponential form is:

65402 = 21 × 531 × 6171

Prime Factorization of 65414

Prime factors of 65414 are 2, 32707. Prime factorization of 65414 in exponential form is:

65414 = 21 × 327071

Now multiplying the highest exponent prime factors to calculate the LCM of 65402 and 65414.

LCM(65402,65414) = 21 × 531 × 6171 × 327071
LCM(65402,65414) = 2139103214