What is the Least Common Multiple of 75680 and 75699?

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 75680 and 75699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75680 and 75699, than apply into the LCM equation.

GCF(75680,75699) = 1
LCM(75680,75699) = ( 75680 × 75699) / 1
LCM(75680,75699) = 5728900320 / 1
LCM(75680,75699) = 5728900320

Least Common Multiple (LCM) of 75680 and 75699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75680 and 75699. First we will calculate the prime factors of 75680 and 75699.

Prime Factorization of 75680

Prime Factorization of 75699

Now multiplying the highest exponent prime factors to calculate the LCM of 75680 and 75699.

LCM(75680,75699) = 2⁵ × 5¹ × 11¹ × 43¹ × 3² × 13¹ × 647¹
LCM(75680,75699) = 5728900320