What is the Least Common Multiple of 81890 and 81910?

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 81890 and 81910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81890 and 81910, than apply into the LCM equation.

GCF(81890,81910) = 10
LCM(81890,81910) = ( 81890 × 81910) / 10
LCM(81890,81910) = 6707609900 / 10
LCM(81890,81910) = 670760990

Least Common Multiple (LCM) of 81890 and 81910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81890 and 81910. First we will calculate the prime factors of 81890 and 81910.

Prime Factorization of 81890

Prime Factorization of 81910

Now multiplying the highest exponent prime factors to calculate the LCM of 81890 and 81910.

LCM(81890,81910) = 2¹ × 5¹ × 19¹ × 431¹ × 8191¹
LCM(81890,81910) = 670760990