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What is the Least Common Multiple of 68153 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 68153 and 68157 is 4645104021.

LCM(68153,68157) = 4645104021

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Least Common Multiple of 68153 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 68153 and 68157, than apply into the LCM equation.

GCF(68153,68157) = 1
LCM(68153,68157) = ( 68153 × 68157) / 1
LCM(68153,68157) = 4645104021 / 1
LCM(68153,68157) = 4645104021

Least Common Multiple (LCM) of 68153 and 68157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68153 and 68157. First we will calculate the prime factors of 68153 and 68157.

Prime Factorization of 68153

Prime factors of 68153 are 17, 19, 211. Prime factorization of 68153 in exponential form is:

68153 = 171 × 191 × 2111

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 68153 and 68157.

LCM(68153,68157) = 171 × 191 × 2111 × 32 × 75731
LCM(68153,68157) = 4645104021