What is the Least Common Multiple of 89262 and 89281?

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 89262 and 89281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89262 and 89281, than apply into the LCM equation.

GCF(89262,89281) = 19
LCM(89262,89281) = ( 89262 × 89281) / 19
LCM(89262,89281) = 7969400622 / 19
LCM(89262,89281) = 419442138

Least Common Multiple (LCM) of 89262 and 89281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89262 and 89281. First we will calculate the prime factors of 89262 and 89281.

Prime Factorization of 89262

Prime Factorization of 89281

Now multiplying the highest exponent prime factors to calculate the LCM of 89262 and 89281.

LCM(89262,89281) = 2¹ × 3⁴ × 19¹ × 29¹ × 37¹ × 127¹
LCM(89262,89281) = 419442138