What is the Least Common Multiple of 78690 and 78698?

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 78690 and 78698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78690 and 78698, than apply into the LCM equation.

GCF(78690,78698) = 2
LCM(78690,78698) = ( 78690 × 78698) / 2
LCM(78690,78698) = 6192745620 / 2
LCM(78690,78698) = 3096372810

Least Common Multiple (LCM) of 78690 and 78698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78690 and 78698. First we will calculate the prime factors of 78690 and 78698.

Prime Factorization of 78690

Prime Factorization of 78698

Now multiplying the highest exponent prime factors to calculate the LCM of 78690 and 78698.

LCM(78690,78698) = 2¹ × 3¹ × 5¹ × 43¹ × 61¹ × 19² × 109¹
LCM(78690,78698) = 3096372810