What is the Least Common Multiple of 69690 and 69695?

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 69690 and 69695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69690 and 69695, than apply into the LCM equation.

GCF(69690,69695) = 5
LCM(69690,69695) = ( 69690 × 69695) / 5
LCM(69690,69695) = 4857044550 / 5
LCM(69690,69695) = 971408910

Least Common Multiple (LCM) of 69690 and 69695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69690 and 69695. First we will calculate the prime factors of 69690 and 69695.

Prime Factorization of 69690

Prime Factorization of 69695

Now multiplying the highest exponent prime factors to calculate the LCM of 69690 and 69695.

LCM(69690,69695) = 2¹ × 3¹ × 5¹ × 23¹ × 101¹ × 53¹ × 263¹
LCM(69690,69695) = 971408910