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What is the Least Common Multiple of 68750 and 68763?

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 68750 and 68763 is 4727456250.

LCM(68750,68763) = 4727456250

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Least Common Multiple of 68750 and 68763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68750 and 68763, than apply into the LCM equation.

GCF(68750,68763) = 1
LCM(68750,68763) = ( 68750 × 68763) / 1
LCM(68750,68763) = 4727456250 / 1
LCM(68750,68763) = 4727456250

Least Common Multiple (LCM) of 68750 and 68763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68750 and 68763. First we will calculate the prime factors of 68750 and 68763.

Prime Factorization of 68750

Prime factors of 68750 are 2, 5, 11. Prime factorization of 68750 in exponential form is:

68750 = 21 × 55 × 111

Prime Factorization of 68763

Prime factors of 68763 are 3, 22921. Prime factorization of 68763 in exponential form is:

68763 = 31 × 229211

Now multiplying the highest exponent prime factors to calculate the LCM of 68750 and 68763.

LCM(68750,68763) = 21 × 55 × 111 × 31 × 229211
LCM(68750,68763) = 4727456250