What is the Least Common Multiple of 80370 and 80382?

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 80370 and 80382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80370 and 80382, than apply into the LCM equation.

GCF(80370,80382) = 6
LCM(80370,80382) = ( 80370 × 80382) / 6
LCM(80370,80382) = 6460301340 / 6
LCM(80370,80382) = 1076716890

Least Common Multiple (LCM) of 80370 and 80382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80370 and 80382. First we will calculate the prime factors of 80370 and 80382.

Prime Factorization of 80370

Prime Factorization of 80382

Now multiplying the highest exponent prime factors to calculate the LCM of 80370 and 80382.

LCM(80370,80382) = 2¹ × 3² × 5¹ × 19¹ × 47¹ × 13397¹
LCM(80370,80382) = 1076716890