What is the Least Common Multiple of 60690 and 60696?

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 60690 and 60696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60690 and 60696, than apply into the LCM equation.

GCF(60690,60696) = 6
LCM(60690,60696) = ( 60690 × 60696) / 6
LCM(60690,60696) = 3683640240 / 6
LCM(60690,60696) = 613940040

Least Common Multiple (LCM) of 60690 and 60696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60690 and 60696. First we will calculate the prime factors of 60690 and 60696.

Prime Factorization of 60690

Prime Factorization of 60696

Now multiplying the highest exponent prime factors to calculate the LCM of 60690 and 60696.

LCM(60690,60696) = 2³ × 3³ × 5¹ × 7¹ × 17² × 281¹
LCM(60690,60696) = 613940040