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What is the Least Common Multiple of 66034 and 66048?

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 66034 and 66048 is 2180706816.

LCM(66034,66048) = 2180706816

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Least Common Multiple of 66034 and 66048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66034 and 66048, than apply into the LCM equation.

GCF(66034,66048) = 2
LCM(66034,66048) = ( 66034 × 66048) / 2
LCM(66034,66048) = 4361413632 / 2
LCM(66034,66048) = 2180706816

Least Common Multiple (LCM) of 66034 and 66048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66034 and 66048. First we will calculate the prime factors of 66034 and 66048.

Prime Factorization of 66034

Prime factors of 66034 are 2, 137, 241. Prime factorization of 66034 in exponential form is:

66034 = 21 × 1371 × 2411

Prime Factorization of 66048

Prime factors of 66048 are 2, 3, 43. Prime factorization of 66048 in exponential form is:

66048 = 29 × 31 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 66034 and 66048.

LCM(66034,66048) = 29 × 1371 × 2411 × 31 × 431
LCM(66034,66048) = 2180706816