What is the Least Common Multiple of 70380 and 70398?

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 70380 and 70398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70380 and 70398, than apply into the LCM equation.

GCF(70380,70398) = 18
LCM(70380,70398) = ( 70380 × 70398) / 18
LCM(70380,70398) = 4954611240 / 18
LCM(70380,70398) = 275256180

Least Common Multiple (LCM) of 70380 and 70398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70380 and 70398. First we will calculate the prime factors of 70380 and 70398.

Prime Factorization of 70380

Prime Factorization of 70398

Now multiplying the highest exponent prime factors to calculate the LCM of 70380 and 70398.

LCM(70380,70398) = 2² × 3² × 5¹ × 17¹ × 23¹ × 3911¹
LCM(70380,70398) = 275256180