What is the Least Common Multiple of 89370 and 89388?

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 89370 and 89388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89370 and 89388, than apply into the LCM equation.

GCF(89370,89388) = 18
LCM(89370,89388) = ( 89370 × 89388) / 18
LCM(89370,89388) = 7988605560 / 18
LCM(89370,89388) = 443811420

Least Common Multiple (LCM) of 89370 and 89388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89370 and 89388. First we will calculate the prime factors of 89370 and 89388.

Prime Factorization of 89370

Prime Factorization of 89388

Now multiplying the highest exponent prime factors to calculate the LCM of 89370 and 89388.

LCM(89370,89388) = 2² × 3³ × 5¹ × 331¹ × 13¹ × 191¹
LCM(89370,89388) = 443811420