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What is the Least Common Multiple of 68500 and 68516?

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 68500 and 68516 is 1173336500.

LCM(68500,68516) = 1173336500

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Least Common Multiple of 68500 and 68516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68500 and 68516, than apply into the LCM equation.

GCF(68500,68516) = 4
LCM(68500,68516) = ( 68500 × 68516) / 4
LCM(68500,68516) = 4693346000 / 4
LCM(68500,68516) = 1173336500

Least Common Multiple (LCM) of 68500 and 68516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68500 and 68516. First we will calculate the prime factors of 68500 and 68516.

Prime Factorization of 68500

Prime factors of 68500 are 2, 5, 137. Prime factorization of 68500 in exponential form is:

68500 = 22 × 53 × 1371

Prime Factorization of 68516

Prime factors of 68516 are 2, 7, 2447. Prime factorization of 68516 in exponential form is:

68516 = 22 × 71 × 24471

Now multiplying the highest exponent prime factors to calculate the LCM of 68500 and 68516.

LCM(68500,68516) = 22 × 53 × 1371 × 71 × 24471
LCM(68500,68516) = 1173336500