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What is the Least Common Multiple of 66480 and 66498?

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 66480 and 66498 is 736797840.

LCM(66480,66498) = 736797840

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Least Common Multiple of 66480 and 66498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66480 and 66498, than apply into the LCM equation.

GCF(66480,66498) = 6
LCM(66480,66498) = ( 66480 × 66498) / 6
LCM(66480,66498) = 4420787040 / 6
LCM(66480,66498) = 736797840

Least Common Multiple (LCM) of 66480 and 66498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66480 and 66498. First we will calculate the prime factors of 66480 and 66498.

Prime Factorization of 66480

Prime factors of 66480 are 2, 3, 5, 277. Prime factorization of 66480 in exponential form is:

66480 = 24 × 31 × 51 × 2771

Prime Factorization of 66498

Prime factors of 66498 are 2, 3, 11083. Prime factorization of 66498 in exponential form is:

66498 = 21 × 31 × 110831

Now multiplying the highest exponent prime factors to calculate the LCM of 66480 and 66498.

LCM(66480,66498) = 24 × 31 × 51 × 2771 × 110831
LCM(66480,66498) = 736797840