What is the Least Common Multiple of 69680 and 69688?

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 69680 and 69688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69680 and 69688, than apply into the LCM equation.

GCF(69680,69688) = 8
LCM(69680,69688) = ( 69680 × 69688) / 8
LCM(69680,69688) = 4855859840 / 8
LCM(69680,69688) = 606982480

Least Common Multiple (LCM) of 69680 and 69688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69680 and 69688. First we will calculate the prime factors of 69680 and 69688.

Prime Factorization of 69680

Prime Factorization of 69688

Now multiplying the highest exponent prime factors to calculate the LCM of 69680 and 69688.

LCM(69680,69688) = 2⁴ × 5¹ × 13¹ × 67¹ × 31¹ × 281¹
LCM(69680,69688) = 606982480