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What is the Least Common Multiple of 65028 and 65040?

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 65028 and 65040 is 352451760.

LCM(65028,65040) = 352451760

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Least Common Multiple of 65028 and 65040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65028 and 65040, than apply into the LCM equation.

GCF(65028,65040) = 12
LCM(65028,65040) = ( 65028 × 65040) / 12
LCM(65028,65040) = 4229421120 / 12
LCM(65028,65040) = 352451760

Least Common Multiple (LCM) of 65028 and 65040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65028 and 65040. First we will calculate the prime factors of 65028 and 65040.

Prime Factorization of 65028

Prime factors of 65028 are 2, 3, 5419. Prime factorization of 65028 in exponential form is:

65028 = 22 × 31 × 54191

Prime Factorization of 65040

Prime factors of 65040 are 2, 3, 5, 271. Prime factorization of 65040 in exponential form is:

65040 = 24 × 31 × 51 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 65028 and 65040.

LCM(65028,65040) = 24 × 31 × 54191 × 51 × 2711
LCM(65028,65040) = 352451760