What is the Least Common Multiple of 72690 and 72698?

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 72690 and 72698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72690 and 72698, than apply into the LCM equation.

GCF(72690,72698) = 2
LCM(72690,72698) = ( 72690 × 72698) / 2
LCM(72690,72698) = 5284417620 / 2
LCM(72690,72698) = 2642208810

Least Common Multiple (LCM) of 72690 and 72698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72690 and 72698. First we will calculate the prime factors of 72690 and 72698.

Prime Factorization of 72690

Prime Factorization of 72698

Now multiplying the highest exponent prime factors to calculate the LCM of 72690 and 72698.

LCM(72690,72698) = 2¹ × 3¹ × 5¹ × 2423¹ × 163¹ × 223¹
LCM(72690,72698) = 2642208810