What is the Least Common Multiple of 56380 and 56398?

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 56380 and 56398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56380 and 56398, than apply into the LCM equation.

GCF(56380,56398) = 2
LCM(56380,56398) = ( 56380 × 56398) / 2
LCM(56380,56398) = 3179719240 / 2
LCM(56380,56398) = 1589859620

Least Common Multiple (LCM) of 56380 and 56398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56380 and 56398. First we will calculate the prime factors of 56380 and 56398.

Prime Factorization of 56380

Prime Factorization of 56398

Now multiplying the highest exponent prime factors to calculate the LCM of 56380 and 56398.

LCM(56380,56398) = 2² × 5¹ × 2819¹ × 163¹ × 173¹
LCM(56380,56398) = 1589859620