What is the Least Common Multiple of 84972 and 84992?

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 84972 and 84992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84972 and 84992, than apply into the LCM equation.

GCF(84972,84992) = 4
LCM(84972,84992) = ( 84972 × 84992) / 4
LCM(84972,84992) = 7221940224 / 4
LCM(84972,84992) = 1805485056

Least Common Multiple (LCM) of 84972 and 84992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84972 and 84992. First we will calculate the prime factors of 84972 and 84992.

Prime Factorization of 84972

Prime Factorization of 84992

Now multiplying the highest exponent prime factors to calculate the LCM of 84972 and 84992.

LCM(84972,84992) = 2¹⁰ × 3¹ × 73¹ × 97¹ × 83¹
LCM(84972,84992) = 1805485056