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What is the Least Common Multiple of 66348 and 66354?

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 66348 and 66354 is 733742532.

LCM(66348,66354) = 733742532

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Least Common Multiple of 66348 and 66354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66348 and 66354, than apply into the LCM equation.

GCF(66348,66354) = 6
LCM(66348,66354) = ( 66348 × 66354) / 6
LCM(66348,66354) = 4402455192 / 6
LCM(66348,66354) = 733742532

Least Common Multiple (LCM) of 66348 and 66354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66348 and 66354. First we will calculate the prime factors of 66348 and 66354.

Prime Factorization of 66348

Prime factors of 66348 are 2, 3, 19, 97. Prime factorization of 66348 in exponential form is:

66348 = 22 × 32 × 191 × 971

Prime Factorization of 66354

Prime factors of 66354 are 2, 3, 11059. Prime factorization of 66354 in exponential form is:

66354 = 21 × 31 × 110591

Now multiplying the highest exponent prime factors to calculate the LCM of 66348 and 66354.

LCM(66348,66354) = 22 × 32 × 191 × 971 × 110591
LCM(66348,66354) = 733742532