What is the Least Common Multiple of 84990 and 85010?

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 84990 and 85010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84990 and 85010, than apply into the LCM equation.

GCF(84990,85010) = 10
LCM(84990,85010) = ( 84990 × 85010) / 10
LCM(84990,85010) = 7224999900 / 10
LCM(84990,85010) = 722499990

Least Common Multiple (LCM) of 84990 and 85010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84990 and 85010. First we will calculate the prime factors of 84990 and 85010.

Prime Factorization of 84990

Prime Factorization of 85010

Now multiplying the highest exponent prime factors to calculate the LCM of 84990 and 85010.

LCM(84990,85010) = 2¹ × 3¹ × 5¹ × 2833¹ × 8501¹
LCM(84990,85010) = 722499990