What is the Least Common Multiple of 84890 and 84895?

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 84890 and 84895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84890 and 84895, than apply into the LCM equation.

GCF(84890,84895) = 5
LCM(84890,84895) = ( 84890 × 84895) / 5
LCM(84890,84895) = 7206736550 / 5
LCM(84890,84895) = 1441347310

Least Common Multiple (LCM) of 84890 and 84895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84890 and 84895. First we will calculate the prime factors of 84890 and 84895.

Prime Factorization of 84890

Prime Factorization of 84895

Now multiplying the highest exponent prime factors to calculate the LCM of 84890 and 84895.

LCM(84890,84895) = 2¹ × 5¹ × 13¹ × 653¹ × 16979¹
LCM(84890,84895) = 1441347310