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What is the Least Common Multiple of 66028 and 66034?

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 66028 and 66034 is 2180046476.

LCM(66028,66034) = 2180046476

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Least Common Multiple of 66028 and 66034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66028 and 66034, than apply into the LCM equation.

GCF(66028,66034) = 2
LCM(66028,66034) = ( 66028 × 66034) / 2
LCM(66028,66034) = 4360092952 / 2
LCM(66028,66034) = 2180046476

Least Common Multiple (LCM) of 66028 and 66034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66028 and 66034. First we will calculate the prime factors of 66028 and 66034.

Prime Factorization of 66028

Prime factors of 66028 are 2, 17, 971. Prime factorization of 66028 in exponential form is:

66028 = 22 × 171 × 9711

Prime Factorization of 66034

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

66034 = 21 × 1371 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 66028 and 66034.

LCM(66028,66034) = 22 × 171 × 9711 × 1371 × 2411
LCM(66028,66034) = 2180046476