What is the Least Common Multiple of 89370 and 89374?

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 89374 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 89374, than apply into the LCM equation.

GCF(89370,89374) = 2
LCM(89370,89374) = ( 89370 × 89374) / 2
LCM(89370,89374) = 7987354380 / 2
LCM(89370,89374) = 3993677190

Least Common Multiple (LCM) of 89370 and 89374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89370 and 89374. First we will calculate the prime factors of 89370 and 89374.

Prime Factorization of 89370

Prime Factorization of 89374

Now multiplying the highest exponent prime factors to calculate the LCM of 89370 and 89374.

LCM(89370,89374) = 2¹ × 3³ × 5¹ × 331¹ × 44687¹
LCM(89370,89374) = 3993677190