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What is the Least Common Multiple of 66196 and 66215?

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 66196 and 66215 is 230693060.

LCM(66196,66215) = 230693060

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Least Common Multiple of 66196 and 66215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66196 and 66215, than apply into the LCM equation.

GCF(66196,66215) = 19
LCM(66196,66215) = ( 66196 × 66215) / 19
LCM(66196,66215) = 4383168140 / 19
LCM(66196,66215) = 230693060

Least Common Multiple (LCM) of 66196 and 66215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66196 and 66215. First we will calculate the prime factors of 66196 and 66215.

Prime Factorization of 66196

Prime factors of 66196 are 2, 13, 19, 67. Prime factorization of 66196 in exponential form is:

66196 = 22 × 131 × 191 × 671

Prime Factorization of 66215

Prime factors of 66215 are 5, 17, 19, 41. Prime factorization of 66215 in exponential form is:

66215 = 51 × 171 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 66196 and 66215.

LCM(66196,66215) = 22 × 131 × 191 × 671 × 51 × 171 × 411
LCM(66196,66215) = 230693060