What is the Least Common Multiple of 68609 and 68628?

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 68609 and 68628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68609 and 68628, than apply into the LCM equation.

GCF(68609,68628) = 19
LCM(68609,68628) = ( 68609 × 68628) / 19
LCM(68609,68628) = 4708498452 / 19
LCM(68609,68628) = 247815708

Least Common Multiple (LCM) of 68609 and 68628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68609 and 68628. First we will calculate the prime factors of 68609 and 68628.

Prime Factorization of 68609

Prime Factorization of 68628

Now multiplying the highest exponent prime factors to calculate the LCM of 68609 and 68628.

LCM(68609,68628) = 19¹ × 23¹ × 157¹ × 2² × 3¹ × 7¹ × 43¹
LCM(68609,68628) = 247815708