What is the Least Common Multiple of 84892 and 84903?

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 84892 and 84903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84892 and 84903, than apply into the LCM equation.

GCF(84892,84903) = 1
LCM(84892,84903) = ( 84892 × 84903) / 1
LCM(84892,84903) = 7207585476 / 1
LCM(84892,84903) = 7207585476

Least Common Multiple (LCM) of 84892 and 84903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84892 and 84903. First we will calculate the prime factors of 84892 and 84903.

Prime Factorization of 84892

Prime Factorization of 84903

Now multiplying the highest exponent prime factors to calculate the LCM of 84892 and 84903.

LCM(84892,84903) = 2² × 19¹ × 1117¹ × 3¹ × 7¹ × 13¹ × 311¹
LCM(84892,84903) = 7207585476