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What is the Least Common Multiple of 50153 and 50168?

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 50153 and 50168 is 2516075704.

LCM(50153,50168) = 2516075704

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Least Common Multiple of 50153 and 50168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50153 and 50168, than apply into the LCM equation.

GCF(50153,50168) = 1
LCM(50153,50168) = ( 50153 × 50168) / 1
LCM(50153,50168) = 2516075704 / 1
LCM(50153,50168) = 2516075704

Least Common Multiple (LCM) of 50153 and 50168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50153 and 50168. First we will calculate the prime factors of 50153 and 50168.

Prime Factorization of 50153

Prime factors of 50153 are 50153. Prime factorization of 50153 in exponential form is:

50153 = 501531

Prime Factorization of 50168

Prime factors of 50168 are 2, 6271. Prime factorization of 50168 in exponential form is:

50168 = 23 × 62711

Now multiplying the highest exponent prime factors to calculate the LCM of 50153 and 50168.

LCM(50153,50168) = 501531 × 23 × 62711
LCM(50153,50168) = 2516075704