What is the Least Common Multiple of 53919 and 53934?

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 53919 and 53934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53919 and 53934, than apply into the LCM equation.

GCF(53919,53934) = 3
LCM(53919,53934) = ( 53919 × 53934) / 3
LCM(53919,53934) = 2908067346 / 3
LCM(53919,53934) = 969355782

Least Common Multiple (LCM) of 53919 and 53934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53919 and 53934. First we will calculate the prime factors of 53919 and 53934.

Prime Factorization of 53919

Prime Factorization of 53934

Now multiplying the highest exponent prime factors to calculate the LCM of 53919 and 53934.

LCM(53919,53934) = 3³ × 1997¹ × 2¹ × 89¹ × 101¹
LCM(53919,53934) = 969355782