What is the Least Common Multiple of 53958 and 53976?

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 53976 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 53976, than apply into the LCM equation.

GCF(53958,53976) = 6
LCM(53958,53976) = ( 53958 × 53976) / 6
LCM(53958,53976) = 2912437008 / 6
LCM(53958,53976) = 485406168

Least Common Multiple (LCM) of 53958 and 53976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53958 and 53976. First we will calculate the prime factors of 53958 and 53976.

Prime Factorization of 53958

Prime Factorization of 53976

Now multiplying the highest exponent prime factors to calculate the LCM of 53958 and 53976.

LCM(53958,53976) = 2³ × 3¹ × 17¹ × 23² × 13¹ × 173¹
LCM(53958,53976) = 485406168