What is the Least Common Multiple of 53088 and 53098?

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 53088 and 53098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53088 and 53098, than apply into the LCM equation.

GCF(53088,53098) = 2
LCM(53088,53098) = ( 53088 × 53098) / 2
LCM(53088,53098) = 2818866624 / 2
LCM(53088,53098) = 1409433312

Least Common Multiple (LCM) of 53088 and 53098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53088 and 53098. First we will calculate the prime factors of 53088 and 53098.

Prime Factorization of 53088

Prime Factorization of 53098

Now multiplying the highest exponent prime factors to calculate the LCM of 53088 and 53098.

LCM(53088,53098) = 2⁵ × 3¹ × 7¹ × 79¹ × 139¹ × 191¹
LCM(53088,53098) = 1409433312