What is the Least Common Multiple of 71380 and 71385?

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 71380 and 71385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71380 and 71385, than apply into the LCM equation.

GCF(71380,71385) = 5
LCM(71380,71385) = ( 71380 × 71385) / 5
LCM(71380,71385) = 5095461300 / 5
LCM(71380,71385) = 1019092260

Least Common Multiple (LCM) of 71380 and 71385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71380 and 71385. First we will calculate the prime factors of 71380 and 71385.

Prime Factorization of 71380

Prime Factorization of 71385

Now multiplying the highest exponent prime factors to calculate the LCM of 71380 and 71385.

LCM(71380,71385) = 2² × 5¹ × 43¹ × 83¹ × 3¹ × 4759¹
LCM(71380,71385) = 1019092260