What is the Least Common Multiple of 82354 and 82370?

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 82354 and 82370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82354 and 82370, than apply into the LCM equation.

GCF(82354,82370) = 2
LCM(82354,82370) = ( 82354 × 82370) / 2
LCM(82354,82370) = 6783498980 / 2
LCM(82354,82370) = 3391749490

Least Common Multiple (LCM) of 82354 and 82370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82354 and 82370. First we will calculate the prime factors of 82354 and 82370.

Prime Factorization of 82354

Prime Factorization of 82370

Now multiplying the highest exponent prime factors to calculate the LCM of 82354 and 82370.

LCM(82354,82370) = 2¹ × 41177¹ × 5¹ × 8237¹
LCM(82354,82370) = 3391749490