What is the Least Common Multiple of 60680 and 60698?

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 60680 and 60698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60680 and 60698, than apply into the LCM equation.

GCF(60680,60698) = 2
LCM(60680,60698) = ( 60680 × 60698) / 2
LCM(60680,60698) = 3683154640 / 2
LCM(60680,60698) = 1841577320

Least Common Multiple (LCM) of 60680 and 60698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60680 and 60698. First we will calculate the prime factors of 60680 and 60698.

Prime Factorization of 60680

Prime Factorization of 60698

Now multiplying the highest exponent prime factors to calculate the LCM of 60680 and 60698.

LCM(60680,60698) = 2³ × 5¹ × 37¹ × 41¹ × 11¹ × 31¹ × 89¹
LCM(60680,60698) = 1841577320