What is the Least Common Multiple of 62829 and 62843?

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 62829 and 62843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62829 and 62843, than apply into the LCM equation.

GCF(62829,62843) = 1
LCM(62829,62843) = ( 62829 × 62843) / 1
LCM(62829,62843) = 3948362847 / 1
LCM(62829,62843) = 3948362847

Least Common Multiple (LCM) of 62829 and 62843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62829 and 62843. First we will calculate the prime factors of 62829 and 62843.

Prime Factorization of 62829

Prime Factorization of 62843

Now multiplying the highest exponent prime factors to calculate the LCM of 62829 and 62843.

LCM(62829,62843) = 3³ × 13¹ × 179¹ × 11¹ × 29¹ × 197¹
LCM(62829,62843) = 3948362847