What is the Least Common Multiple of 83680 and 83699?

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 83680 and 83699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83680 and 83699, than apply into the LCM equation.

GCF(83680,83699) = 1
LCM(83680,83699) = ( 83680 × 83699) / 1
LCM(83680,83699) = 7003932320 / 1
LCM(83680,83699) = 7003932320

Least Common Multiple (LCM) of 83680 and 83699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83680 and 83699. First we will calculate the prime factors of 83680 and 83699.

Prime Factorization of 83680

Prime Factorization of 83699

Now multiplying the highest exponent prime factors to calculate the LCM of 83680 and 83699.

LCM(83680,83699) = 2⁵ × 5¹ × 523¹ × 7¹ × 11¹ × 1087¹
LCM(83680,83699) = 7003932320