What is the Least Common Multiple of 68935 and 68952?

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 of 68935 and 68952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68935 and 68952, than apply into the LCM equation.

GCF(68935,68952) = 17
LCM(68935,68952) = ( 68935 × 68952) / 17
LCM(68935,68952) = 4753206120 / 17
LCM(68935,68952) = 279600360

Least Common Multiple (LCM) of 68935 and 68952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68935 and 68952. First we will calculate the prime factors of 68935 and 68952.

Prime Factorization of 68935

Prime Factorization of 68952

Now multiplying the highest exponent prime factors to calculate the LCM of 68935 and 68952.

LCM(68935,68952) = 5¹ × 17¹ × 811¹ × 2³ × 3¹ × 13²
LCM(68935,68952) = 279600360