What is the Least Common Multiple of 65680 and 65689?

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 65680 and 65689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65680 and 65689, than apply into the LCM equation.

GCF(65680,65689) = 1
LCM(65680,65689) = ( 65680 × 65689) / 1
LCM(65680,65689) = 4314453520 / 1
LCM(65680,65689) = 4314453520

Least Common Multiple (LCM) of 65680 and 65689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65680 and 65689. First we will calculate the prime factors of 65680 and 65689.

Prime Factorization of 65680

Prime Factorization of 65689

Now multiplying the highest exponent prime factors to calculate the LCM of 65680 and 65689.

LCM(65680,65689) = 2⁴ × 5¹ × 821¹ × 13¹ × 31¹ × 163¹
LCM(65680,65689) = 4314453520