What is the Least Common Multiple of 68838 and 68852?

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 68838 and 68852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68838 and 68852, than apply into the LCM equation.

GCF(68838,68852) = 14
LCM(68838,68852) = ( 68838 × 68852) / 14
LCM(68838,68852) = 4739633976 / 14
LCM(68838,68852) = 338545284

Least Common Multiple (LCM) of 68838 and 68852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68838 and 68852. First we will calculate the prime factors of 68838 and 68852.

Prime Factorization of 68838

Prime Factorization of 68852

Now multiplying the highest exponent prime factors to calculate the LCM of 68838 and 68852.

LCM(68838,68852) = 2² × 3¹ × 7¹ × 11¹ × 149¹ × 2459¹
LCM(68838,68852) = 338545284