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What is the Least Common Multiple of 66054 and 66062?

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 66054 and 66062 is 2181829674.

LCM(66054,66062) = 2181829674

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Least Common Multiple of 66054 and 66062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66054 and 66062, than apply into the LCM equation.

GCF(66054,66062) = 2
LCM(66054,66062) = ( 66054 × 66062) / 2
LCM(66054,66062) = 4363659348 / 2
LCM(66054,66062) = 2181829674

Least Common Multiple (LCM) of 66054 and 66062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66054 and 66062. First we will calculate the prime factors of 66054 and 66062.

Prime Factorization of 66054

Prime factors of 66054 are 2, 3, 101, 109. Prime factorization of 66054 in exponential form is:

66054 = 21 × 31 × 1011 × 1091

Prime Factorization of 66062

Prime factors of 66062 are 2, 17, 29, 67. Prime factorization of 66062 in exponential form is:

66062 = 21 × 171 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 66054 and 66062.

LCM(66054,66062) = 21 × 31 × 1011 × 1091 × 171 × 291 × 671
LCM(66054,66062) = 2181829674