What is the Least Common Multiple of 84620 and 84625?

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 84620 and 84625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84620 and 84625, than apply into the LCM equation.

GCF(84620,84625) = 5
LCM(84620,84625) = ( 84620 × 84625) / 5
LCM(84620,84625) = 7160967500 / 5
LCM(84620,84625) = 1432193500

Least Common Multiple (LCM) of 84620 and 84625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84620 and 84625. First we will calculate the prime factors of 84620 and 84625.

Prime Factorization of 84620

Prime Factorization of 84625

Now multiplying the highest exponent prime factors to calculate the LCM of 84620 and 84625.

LCM(84620,84625) = 2² × 5³ × 4231¹ × 677¹
LCM(84620,84625) = 1432193500