What is the Least Common Multiple of 82933 and 82953?

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 82933 and 82953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82933 and 82953, than apply into the LCM equation.

GCF(82933,82953) = 1
LCM(82933,82953) = ( 82933 × 82953) / 1
LCM(82933,82953) = 6879541149 / 1
LCM(82933,82953) = 6879541149

Least Common Multiple (LCM) of 82933 and 82953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82933 and 82953. First we will calculate the prime factors of 82933 and 82953.

Prime Factorization of 82933

Prime Factorization of 82953

Now multiplying the highest exponent prime factors to calculate the LCM of 82933 and 82953.

LCM(82933,82953) = 239¹ × 347¹ × 3² × 13¹ × 709¹
LCM(82933,82953) = 6879541149