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What is the Least Common Multiple of 66294 and 66314?

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 66294 and 66314 is 2198110158.

LCM(66294,66314) = 2198110158

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Least Common Multiple of 66294 and 66314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66294 and 66314, than apply into the LCM equation.

GCF(66294,66314) = 2
LCM(66294,66314) = ( 66294 × 66314) / 2
LCM(66294,66314) = 4396220316 / 2
LCM(66294,66314) = 2198110158

Least Common Multiple (LCM) of 66294 and 66314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66294 and 66314. First we will calculate the prime factors of 66294 and 66314.

Prime Factorization of 66294

Prime factors of 66294 are 2, 3, 29, 127. Prime factorization of 66294 in exponential form is:

66294 = 21 × 32 × 291 × 1271

Prime Factorization of 66314

Prime factors of 66314 are 2, 71, 467. Prime factorization of 66314 in exponential form is:

66314 = 21 × 711 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 66294 and 66314.

LCM(66294,66314) = 21 × 32 × 291 × 1271 × 711 × 4671
LCM(66294,66314) = 2198110158