What is the Least Common Multiple of 81290 and 81305?

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 81290 and 81305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81290 and 81305, than apply into the LCM equation.

GCF(81290,81305) = 5
LCM(81290,81305) = ( 81290 × 81305) / 5
LCM(81290,81305) = 6609283450 / 5
LCM(81290,81305) = 1321856690

Least Common Multiple (LCM) of 81290 and 81305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81290 and 81305. First we will calculate the prime factors of 81290 and 81305.

Prime Factorization of 81290

Prime Factorization of 81305

Now multiplying the highest exponent prime factors to calculate the LCM of 81290 and 81305.

LCM(81290,81305) = 2¹ × 5¹ × 11¹ × 739¹ × 7¹ × 23¹ × 101¹
LCM(81290,81305) = 1321856690