What is the Least Common Multiple of 59940 and 59949?

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 59940 and 59949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59940 and 59949, than apply into the LCM equation.

GCF(59940,59949) = 9
LCM(59940,59949) = ( 59940 × 59949) / 9
LCM(59940,59949) = 3593343060 / 9
LCM(59940,59949) = 399260340

Least Common Multiple (LCM) of 59940 and 59949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59940 and 59949. First we will calculate the prime factors of 59940 and 59949.

Prime Factorization of 59940

Prime Factorization of 59949

Now multiplying the highest exponent prime factors to calculate the LCM of 59940 and 59949.

LCM(59940,59949) = 2² × 3⁴ × 5¹ × 37¹ × 6661¹
LCM(59940,59949) = 399260340