What is the Least Common Multiple of 83490 and 83499?

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 83490 and 83499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83490 and 83499, than apply into the LCM equation.

GCF(83490,83499) = 3
LCM(83490,83499) = ( 83490 × 83499) / 3
LCM(83490,83499) = 6971331510 / 3
LCM(83490,83499) = 2323777170

Least Common Multiple (LCM) of 83490 and 83499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83490 and 83499. First we will calculate the prime factors of 83490 and 83499.

Prime Factorization of 83490

Prime Factorization of 83499

Now multiplying the highest exponent prime factors to calculate the LCM of 83490 and 83499.

LCM(83490,83499) = 2¹ × 3¹ × 5¹ × 11² × 23¹ × 13¹ × 2141¹
LCM(83490,83499) = 2323777170