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What is the Least Common Multiple of 66319 and 66332?

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 66319 and 66332 is 4399071908.

LCM(66319,66332) = 4399071908

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Least Common Multiple of 66319 and 66332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66319 and 66332, than apply into the LCM equation.

GCF(66319,66332) = 1
LCM(66319,66332) = ( 66319 × 66332) / 1
LCM(66319,66332) = 4399071908 / 1
LCM(66319,66332) = 4399071908

Least Common Multiple (LCM) of 66319 and 66332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66319 and 66332. First we will calculate the prime factors of 66319 and 66332.

Prime Factorization of 66319

Prime factors of 66319 are 11, 6029. Prime factorization of 66319 in exponential form is:

66319 = 111 × 60291

Prime Factorization of 66332

Prime factors of 66332 are 2, 7, 23, 103. Prime factorization of 66332 in exponential form is:

66332 = 22 × 71 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 66319 and 66332.

LCM(66319,66332) = 111 × 60291 × 22 × 71 × 231 × 1031
LCM(66319,66332) = 4399071908