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What is the Least Common Multiple of 61137 and 61154?

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 61137 and 61154 is 3738772098.

LCM(61137,61154) = 3738772098

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Least Common Multiple of 61137 and 61154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61137 and 61154, than apply into the LCM equation.

GCF(61137,61154) = 1
LCM(61137,61154) = ( 61137 × 61154) / 1
LCM(61137,61154) = 3738772098 / 1
LCM(61137,61154) = 3738772098

Least Common Multiple (LCM) of 61137 and 61154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61137 and 61154. First we will calculate the prime factors of 61137 and 61154.

Prime Factorization of 61137

Prime factors of 61137 are 3, 6793. Prime factorization of 61137 in exponential form is:

61137 = 32 × 67931

Prime Factorization of 61154

Prime factors of 61154 are 2, 30577. Prime factorization of 61154 in exponential form is:

61154 = 21 × 305771

Now multiplying the highest exponent prime factors to calculate the LCM of 61137 and 61154.

LCM(61137,61154) = 32 × 67931 × 21 × 305771
LCM(61137,61154) = 3738772098