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What is the Least Common Multiple of 66650 and 66664?

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 66650 and 66664 is 2221577800.

LCM(66650,66664) = 2221577800

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Least Common Multiple of 66650 and 66664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66650 and 66664, than apply into the LCM equation.

GCF(66650,66664) = 2
LCM(66650,66664) = ( 66650 × 66664) / 2
LCM(66650,66664) = 4443155600 / 2
LCM(66650,66664) = 2221577800

Least Common Multiple (LCM) of 66650 and 66664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66650 and 66664. First we will calculate the prime factors of 66650 and 66664.

Prime Factorization of 66650

Prime factors of 66650 are 2, 5, 31, 43. Prime factorization of 66650 in exponential form is:

66650 = 21 × 52 × 311 × 431

Prime Factorization of 66664

Prime factors of 66664 are 2, 13, 641. Prime factorization of 66664 in exponential form is:

66664 = 23 × 131 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 66650 and 66664.

LCM(66650,66664) = 23 × 52 × 311 × 431 × 131 × 6411
LCM(66650,66664) = 2221577800