What is the Least Common Multiple of 56190 and 56194?

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 56190 and 56194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56190 and 56194, than apply into the LCM equation.

GCF(56190,56194) = 2
LCM(56190,56194) = ( 56190 × 56194) / 2
LCM(56190,56194) = 3157540860 / 2
LCM(56190,56194) = 1578770430

Least Common Multiple (LCM) of 56190 and 56194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56190 and 56194. First we will calculate the prime factors of 56190 and 56194.

Prime Factorization of 56190

Prime Factorization of 56194

Now multiplying the highest exponent prime factors to calculate the LCM of 56190 and 56194.

LCM(56190,56194) = 2¹ × 3¹ × 5¹ × 1873¹ × 28097¹
LCM(56190,56194) = 1578770430