What is the Least Common Multiple of 72380 and 72398?

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 72380 and 72398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72380 and 72398, than apply into the LCM equation.

GCF(72380,72398) = 2
LCM(72380,72398) = ( 72380 × 72398) / 2
LCM(72380,72398) = 5240167240 / 2
LCM(72380,72398) = 2620083620

Least Common Multiple (LCM) of 72380 and 72398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72380 and 72398. First we will calculate the prime factors of 72380 and 72398.

Prime Factorization of 72380

Prime Factorization of 72398

Now multiplying the highest exponent prime factors to calculate the LCM of 72380 and 72398.

LCM(72380,72398) = 2² × 5¹ × 7¹ × 11¹ × 47¹ × 53¹ × 683¹
LCM(72380,72398) = 2620083620