What is the Least Common Multiple of 55374 and 55389?

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 55374 and 55389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55374 and 55389, than apply into the LCM equation.

GCF(55374,55389) = 3
LCM(55374,55389) = ( 55374 × 55389) / 3
LCM(55374,55389) = 3067110486 / 3
LCM(55374,55389) = 1022370162

Least Common Multiple (LCM) of 55374 and 55389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55374 and 55389. First we will calculate the prime factors of 55374 and 55389.

Prime Factorization of 55374

Prime Factorization of 55389

Now multiplying the highest exponent prime factors to calculate the LCM of 55374 and 55389.

LCM(55374,55389) = 2¹ × 3¹ × 11¹ × 839¹ × 37¹ × 499¹
LCM(55374,55389) = 1022370162