What is the Least Common Multiple of 59943 and 59956?

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 59943 and 59956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59943 and 59956, than apply into the LCM equation.

GCF(59943,59956) = 13
LCM(59943,59956) = ( 59943 × 59956) / 13
LCM(59943,59956) = 3593942508 / 13
LCM(59943,59956) = 276457116

Least Common Multiple (LCM) of 59943 and 59956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59943 and 59956. First we will calculate the prime factors of 59943 and 59956.

Prime Factorization of 59943

Prime Factorization of 59956

Now multiplying the highest exponent prime factors to calculate the LCM of 59943 and 59956.

LCM(59943,59956) = 3¹ × 13¹ × 29¹ × 53¹ × 2² × 1153¹
LCM(59943,59956) = 276457116