What is the Least Common Multiple of 89015 and 89034?

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 89015 and 89034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89015 and 89034, than apply into the LCM equation.

GCF(89015,89034) = 19
LCM(89015,89034) = ( 89015 × 89034) / 19
LCM(89015,89034) = 7925361510 / 19
LCM(89015,89034) = 417124290

Least Common Multiple (LCM) of 89015 and 89034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89015 and 89034. First we will calculate the prime factors of 89015 and 89034.

Prime Factorization of 89015

Prime Factorization of 89034

Now multiplying the highest exponent prime factors to calculate the LCM of 89015 and 89034.

LCM(89015,89034) = 5¹ × 19¹ × 937¹ × 2¹ × 3¹ × 11¹ × 71¹
LCM(89015,89034) = 417124290