What is the Least Common Multiple of 56350 and 56364?

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 56350 and 56364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56350 and 56364, than apply into the LCM equation.

GCF(56350,56364) = 14
LCM(56350,56364) = ( 56350 × 56364) / 14
LCM(56350,56364) = 3176111400 / 14
LCM(56350,56364) = 226865100

Least Common Multiple (LCM) of 56350 and 56364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56350 and 56364. First we will calculate the prime factors of 56350 and 56364.

Prime Factorization of 56350

Prime Factorization of 56364

Now multiplying the highest exponent prime factors to calculate the LCM of 56350 and 56364.

LCM(56350,56364) = 2² × 5² × 7² × 23¹ × 3¹ × 11¹ × 61¹
LCM(56350,56364) = 226865100