What is the Least Common Multiple of 53814 and 53828?

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 53814 and 53828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53814 and 53828, than apply into the LCM equation.

GCF(53814,53828) = 2
LCM(53814,53828) = ( 53814 × 53828) / 2
LCM(53814,53828) = 2896699992 / 2
LCM(53814,53828) = 1448349996

Least Common Multiple (LCM) of 53814 and 53828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53814 and 53828. First we will calculate the prime factors of 53814 and 53828.

Prime Factorization of 53814

Prime Factorization of 53828

Now multiplying the highest exponent prime factors to calculate the LCM of 53814 and 53828.

LCM(53814,53828) = 2² × 3¹ × 8969¹ × 13457¹
LCM(53814,53828) = 1448349996