What is the Least Common Multiple of 83370 and 83376?

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 83370 and 83376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83370 and 83376, than apply into the LCM equation.

GCF(83370,83376) = 6
LCM(83370,83376) = ( 83370 × 83376) / 6
LCM(83370,83376) = 6951057120 / 6
LCM(83370,83376) = 1158509520

Least Common Multiple (LCM) of 83370 and 83376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83370 and 83376. First we will calculate the prime factors of 83370 and 83376.

Prime Factorization of 83370

Prime Factorization of 83376

Now multiplying the highest exponent prime factors to calculate the LCM of 83370 and 83376.

LCM(83370,83376) = 2⁴ × 3³ × 5¹ × 7¹ × 397¹ × 193¹
LCM(83370,83376) = 1158509520