What is the Least Common Multiple of 74390 and 74395?

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 74390 and 74395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74390 and 74395, than apply into the LCM equation.

GCF(74390,74395) = 5
LCM(74390,74395) = ( 74390 × 74395) / 5
LCM(74390,74395) = 5534244050 / 5
LCM(74390,74395) = 1106848810

Least Common Multiple (LCM) of 74390 and 74395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74390 and 74395. First we will calculate the prime factors of 74390 and 74395.

Prime Factorization of 74390

Prime Factorization of 74395

Now multiplying the highest exponent prime factors to calculate the LCM of 74390 and 74395.

LCM(74390,74395) = 2¹ × 5¹ × 43¹ × 173¹ × 14879¹
LCM(74390,74395) = 1106848810