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What is the Least Common Multiple of 3134 and 3153?

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 3134 and 3153 is 9881502.

LCM(3134,3153) = 9881502

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Least Common Multiple of 3134 and 3153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3134 and 3153, than apply into the LCM equation.

GCF(3134,3153) = 1
LCM(3134,3153) = ( 3134 × 3153) / 1
LCM(3134,3153) = 9881502 / 1
LCM(3134,3153) = 9881502

Least Common Multiple (LCM) of 3134 and 3153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3134 and 3153. First we will calculate the prime factors of 3134 and 3153.

Prime Factorization of 3134

Prime factors of 3134 are 2, 1567. Prime factorization of 3134 in exponential form is:

3134 = 21 × 15671

Prime Factorization of 3153

Prime factors of 3153 are 3, 1051. Prime factorization of 3153 in exponential form is:

3153 = 31 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 3134 and 3153.

LCM(3134,3153) = 21 × 15671 × 31 × 10511
LCM(3134,3153) = 9881502