What is the Least Common Multiple of 84925 and 84944?

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 84925 and 84944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84925 and 84944, than apply into the LCM equation.

GCF(84925,84944) = 1
LCM(84925,84944) = ( 84925 × 84944) / 1
LCM(84925,84944) = 7213869200 / 1
LCM(84925,84944) = 7213869200

Least Common Multiple (LCM) of 84925 and 84944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84925 and 84944. First we will calculate the prime factors of 84925 and 84944.

Prime Factorization of 84925

Prime Factorization of 84944

Now multiplying the highest exponent prime factors to calculate the LCM of 84925 and 84944.

LCM(84925,84944) = 5² × 43¹ × 79¹ × 2⁴ × 5309¹
LCM(84925,84944) = 7213869200