What is the Least Common Multiple of 68046 and 68063?

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 68046 and 68063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68046 and 68063, than apply into the LCM equation.

GCF(68046,68063) = 1
LCM(68046,68063) = ( 68046 × 68063) / 1
LCM(68046,68063) = 4631414898 / 1
LCM(68046,68063) = 4631414898

Least Common Multiple (LCM) of 68046 and 68063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68046 and 68063. First we will calculate the prime factors of 68046 and 68063.

Prime Factorization of 68046

Prime Factorization of 68063

Now multiplying the highest exponent prime factors to calculate the LCM of 68046 and 68063.

LCM(68046,68063) = 2¹ × 3¹ × 11¹ × 1031¹ × 29¹ × 2347¹
LCM(68046,68063) = 4631414898