What is the Least Common Multiple of 4819 and 4826?

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 4819 and 4826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4819 and 4826, than apply into the LCM equation.

GCF(4819,4826) = 1
LCM(4819,4826) = ( 4819 × 4826) / 1
LCM(4819,4826) = 23256494 / 1
LCM(4819,4826) = 23256494

Least Common Multiple (LCM) of 4819 and 4826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4819 and 4826. First we will calculate the prime factors of 4819 and 4826.

Prime Factorization of 4819

Prime Factorization of 4826

Now multiplying the highest exponent prime factors to calculate the LCM of 4819 and 4826.

LCM(4819,4826) = 61¹ × 79¹ × 2¹ × 19¹ × 127¹
LCM(4819,4826) = 23256494