What is the Least Common Multiple of 68660 and 68674?

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 68660 and 68674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68660 and 68674, than apply into the LCM equation.

GCF(68660,68674) = 2
LCM(68660,68674) = ( 68660 × 68674) / 2
LCM(68660,68674) = 4715156840 / 2
LCM(68660,68674) = 2357578420

Least Common Multiple (LCM) of 68660 and 68674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68660 and 68674. First we will calculate the prime factors of 68660 and 68674.

Prime Factorization of 68660

Prime Factorization of 68674

Now multiplying the highest exponent prime factors to calculate the LCM of 68660 and 68674.

LCM(68660,68674) = 2² × 5¹ × 3433¹ × 34337¹
LCM(68660,68674) = 2357578420