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What is the Least Common Multiple of 68151 and 68157?

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 68151 and 68157 is 1548322569.

LCM(68151,68157) = 1548322569

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Least Common Multiple of 68151 and 68157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68151 and 68157, than apply into the LCM equation.

GCF(68151,68157) = 3
LCM(68151,68157) = ( 68151 × 68157) / 3
LCM(68151,68157) = 4644967707 / 3
LCM(68151,68157) = 1548322569

Least Common Multiple (LCM) of 68151 and 68157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68151 and 68157. First we will calculate the prime factors of 68151 and 68157.

Prime Factorization of 68151

Prime factors of 68151 are 3, 22717. Prime factorization of 68151 in exponential form is:

68151 = 31 × 227171

Prime Factorization of 68157

Prime factors of 68157 are 3, 7573. Prime factorization of 68157 in exponential form is:

68157 = 32 × 75731

Now multiplying the highest exponent prime factors to calculate the LCM of 68151 and 68157.

LCM(68151,68157) = 32 × 227171 × 75731
LCM(68151,68157) = 1548322569