What is the Least Common Multiple of 53958 and 53973?

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 53958 and 53973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53958 and 53973, than apply into the LCM equation.

GCF(53958,53973) = 3
LCM(53958,53973) = ( 53958 × 53973) / 3
LCM(53958,53973) = 2912275134 / 3
LCM(53958,53973) = 970758378

Least Common Multiple (LCM) of 53958 and 53973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53958 and 53973. First we will calculate the prime factors of 53958 and 53973.

Prime Factorization of 53958

Prime Factorization of 53973

Now multiplying the highest exponent prime factors to calculate the LCM of 53958 and 53973.

LCM(53958,53973) = 2¹ × 3³ × 17¹ × 23² × 1999¹
LCM(53958,53973) = 970758378