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What is the Least Common Multiple of 65034 and 65048?

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 65034 and 65048 is 2115165816.

LCM(65034,65048) = 2115165816

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Least Common Multiple of 65034 and 65048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65034 and 65048, than apply into the LCM equation.

GCF(65034,65048) = 2
LCM(65034,65048) = ( 65034 × 65048) / 2
LCM(65034,65048) = 4230331632 / 2
LCM(65034,65048) = 2115165816

Least Common Multiple (LCM) of 65034 and 65048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65034 and 65048. First we will calculate the prime factors of 65034 and 65048.

Prime Factorization of 65034

Prime factors of 65034 are 2, 3, 3613. Prime factorization of 65034 in exponential form is:

65034 = 21 × 32 × 36131

Prime Factorization of 65048

Prime factors of 65048 are 2, 47, 173. Prime factorization of 65048 in exponential form is:

65048 = 23 × 471 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 65034 and 65048.

LCM(65034,65048) = 23 × 32 × 36131 × 471 × 1731
LCM(65034,65048) = 2115165816