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What is the Least Common Multiple of 66035 and 66050?

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 66035 and 66050 is 872322350.

LCM(66035,66050) = 872322350

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Least Common Multiple of 66035 and 66050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66035 and 66050, than apply into the LCM equation.

GCF(66035,66050) = 5
LCM(66035,66050) = ( 66035 × 66050) / 5
LCM(66035,66050) = 4361611750 / 5
LCM(66035,66050) = 872322350

Least Common Multiple (LCM) of 66035 and 66050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66035 and 66050. First we will calculate the prime factors of 66035 and 66050.

Prime Factorization of 66035

Prime factors of 66035 are 5, 47, 281. Prime factorization of 66035 in exponential form is:

66035 = 51 × 471 × 2811

Prime Factorization of 66050

Prime factors of 66050 are 2, 5, 1321. Prime factorization of 66050 in exponential form is:

66050 = 21 × 52 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 66035 and 66050.

LCM(66035,66050) = 52 × 471 × 2811 × 21 × 13211
LCM(66035,66050) = 872322350