What is the Least Common Multiple of 83996 and 84010?

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 83996 and 84010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83996 and 84010, than apply into the LCM equation.

GCF(83996,84010) = 2
LCM(83996,84010) = ( 83996 × 84010) / 2
LCM(83996,84010) = 7056503960 / 2
LCM(83996,84010) = 3528251980

Least Common Multiple (LCM) of 83996 and 84010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83996 and 84010. First we will calculate the prime factors of 83996 and 84010.

Prime Factorization of 83996

Prime Factorization of 84010

Now multiplying the highest exponent prime factors to calculate the LCM of 83996 and 84010.

LCM(83996,84010) = 2² × 11¹ × 23¹ × 83¹ × 5¹ × 31¹ × 271¹
LCM(83996,84010) = 3528251980