What is the Least Common Multiple of 52986 and 53004?

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 52986 and 53004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52986 and 53004, than apply into the LCM equation.

GCF(52986,53004) = 6
LCM(52986,53004) = ( 52986 × 53004) / 6
LCM(52986,53004) = 2808469944 / 6
LCM(52986,53004) = 468078324

Least Common Multiple (LCM) of 52986 and 53004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52986 and 53004. First we will calculate the prime factors of 52986 and 53004.

Prime Factorization of 52986

Prime Factorization of 53004

Now multiplying the highest exponent prime factors to calculate the LCM of 52986 and 53004.

LCM(52986,53004) = 2² × 3¹ × 8831¹ × 7¹ × 631¹
LCM(52986,53004) = 468078324