What is the Least Common Multiple of 47814 and 47828?

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 47814 and 47828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47814 and 47828, than apply into the LCM equation.

GCF(47814,47828) = 2
LCM(47814,47828) = ( 47814 × 47828) / 2
LCM(47814,47828) = 2286847992 / 2
LCM(47814,47828) = 1143423996

Least Common Multiple (LCM) of 47814 and 47828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47814 and 47828. First we will calculate the prime factors of 47814 and 47828.

Prime Factorization of 47814

Prime Factorization of 47828

Now multiplying the highest exponent prime factors to calculate the LCM of 47814 and 47828.

LCM(47814,47828) = 2² × 3¹ × 13¹ × 613¹ × 11¹ × 1087¹
LCM(47814,47828) = 1143423996