What is the Least Common Multiple of 69675 and 69680?

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 69675 and 69680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69675 and 69680, than apply into the LCM equation.

GCF(69675,69680) = 5
LCM(69675,69680) = ( 69675 × 69680) / 5
LCM(69675,69680) = 4854954000 / 5
LCM(69675,69680) = 970990800

Least Common Multiple (LCM) of 69675 and 69680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69675 and 69680. First we will calculate the prime factors of 69675 and 69680.

Prime Factorization of 69675

Prime Factorization of 69680

Now multiplying the highest exponent prime factors to calculate the LCM of 69675 and 69680.

LCM(69675,69680) = 3¹ × 5² × 929¹ × 2⁴ × 13¹ × 67¹
LCM(69675,69680) = 970990800