What is the Least Common Multiple of 81942 and 81953?

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 81942 and 81953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81942 and 81953, than apply into the LCM equation.

GCF(81942,81953) = 1
LCM(81942,81953) = ( 81942 × 81953) / 1
LCM(81942,81953) = 6715392726 / 1
LCM(81942,81953) = 6715392726

Least Common Multiple (LCM) of 81942 and 81953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81942 and 81953. First we will calculate the prime factors of 81942 and 81953.

Prime Factorization of 81942

Prime Factorization of 81953

Now multiplying the highest exponent prime factors to calculate the LCM of 81942 and 81953.

LCM(81942,81953) = 2¹ × 3¹ × 7¹ × 1951¹ × 81953¹
LCM(81942,81953) = 6715392726