What is the Least Common Multiple of 89034 and 89038?

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 89034 and 89038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89034 and 89038, than apply into the LCM equation.

GCF(89034,89038) = 2
LCM(89034,89038) = ( 89034 × 89038) / 2
LCM(89034,89038) = 7927409292 / 2
LCM(89034,89038) = 3963704646

Least Common Multiple (LCM) of 89034 and 89038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89034 and 89038. First we will calculate the prime factors of 89034 and 89038.

Prime Factorization of 89034

Prime Factorization of 89038

Now multiplying the highest exponent prime factors to calculate the LCM of 89034 and 89038.

LCM(89034,89038) = 2¹ × 3¹ × 11¹ × 19¹ × 71¹ × 44519¹
LCM(89034,89038) = 3963704646