What is the Least Common Multiple of 68538 and 68546?

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 68538 and 68546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68538 and 68546, than apply into the LCM equation.

GCF(68538,68546) = 2
LCM(68538,68546) = ( 68538 × 68546) / 2
LCM(68538,68546) = 4698005748 / 2
LCM(68538,68546) = 2349002874

Least Common Multiple (LCM) of 68538 and 68546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68538 and 68546. First we will calculate the prime factors of 68538 and 68546.

Prime Factorization of 68538

Prime Factorization of 68546

Now multiplying the highest exponent prime factors to calculate the LCM of 68538 and 68546.

LCM(68538,68546) = 2¹ × 3¹ × 11423¹ × 34273¹
LCM(68538,68546) = 2349002874