What is the Least Common Multiple of 83364 and 83370?

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 83364 and 83370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83364 and 83370, than apply into the LCM equation.

GCF(83364,83370) = 6
LCM(83364,83370) = ( 83364 × 83370) / 6
LCM(83364,83370) = 6950056680 / 6
LCM(83364,83370) = 1158342780

Least Common Multiple (LCM) of 83364 and 83370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83364 and 83370. First we will calculate the prime factors of 83364 and 83370.

Prime Factorization of 83364

Prime Factorization of 83370

Now multiplying the highest exponent prime factors to calculate the LCM of 83364 and 83370.

LCM(83364,83370) = 2² × 3¹ × 6947¹ × 5¹ × 7¹ × 397¹
LCM(83364,83370) = 1158342780