What is the Least Common Multiple of 68234 and 68252?

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 68234 and 68252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68234 and 68252, than apply into the LCM equation.

GCF(68234,68252) = 2
LCM(68234,68252) = ( 68234 × 68252) / 2
LCM(68234,68252) = 4657106968 / 2
LCM(68234,68252) = 2328553484

Least Common Multiple (LCM) of 68234 and 68252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68234 and 68252. First we will calculate the prime factors of 68234 and 68252.

Prime Factorization of 68234

Prime Factorization of 68252

Now multiplying the highest exponent prime factors to calculate the LCM of 68234 and 68252.

LCM(68234,68252) = 2² × 109¹ × 313¹ × 113¹ × 151¹
LCM(68234,68252) = 2328553484