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What is the Least Common Multiple of 66480 and 66487?

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 66487 is 4420055760.

LCM(66480,66487) = 4420055760

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Least Common Multiple of 66480 and 66487 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 66487, than apply into the LCM equation.

GCF(66480,66487) = 1
LCM(66480,66487) = ( 66480 × 66487) / 1
LCM(66480,66487) = 4420055760 / 1
LCM(66480,66487) = 4420055760

Least Common Multiple (LCM) of 66480 and 66487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66480 and 66487. First we will calculate the prime factors of 66480 and 66487.

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 66487

Prime factors of 66487 are 17, 3911. Prime factorization of 66487 in exponential form is:

66487 = 171 × 39111

Now multiplying the highest exponent prime factors to calculate the LCM of 66480 and 66487.

LCM(66480,66487) = 24 × 31 × 51 × 2771 × 171 × 39111
LCM(66480,66487) = 4420055760