What is the Least Common Multiple of 55374 and 55393?

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 55393 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 55393, than apply into the LCM equation.

GCF(55374,55393) = 1
LCM(55374,55393) = ( 55374 × 55393) / 1
LCM(55374,55393) = 3067331982 / 1
LCM(55374,55393) = 3067331982

Least Common Multiple (LCM) of 55374 and 55393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55374 and 55393. First we will calculate the prime factors of 55374 and 55393.

Prime Factorization of 55374

Prime Factorization of 55393

Now multiplying the highest exponent prime factors to calculate the LCM of 55374 and 55393.

LCM(55374,55393) = 2¹ × 3¹ × 11¹ × 839¹ × 13¹ × 4261¹
LCM(55374,55393) = 3067331982