What is the Least Common Multiple of 78345 and 78362?

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 78345 and 78362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78345 and 78362, than apply into the LCM equation.

GCF(78345,78362) = 1
LCM(78345,78362) = ( 78345 × 78362) / 1
LCM(78345,78362) = 6139270890 / 1
LCM(78345,78362) = 6139270890

Least Common Multiple (LCM) of 78345 and 78362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78345 and 78362. First we will calculate the prime factors of 78345 and 78362.

Prime Factorization of 78345

Prime Factorization of 78362

Now multiplying the highest exponent prime factors to calculate the LCM of 78345 and 78362.

LCM(78345,78362) = 3² × 5¹ × 1741¹ × 2¹ × 39181¹
LCM(78345,78362) = 6139270890