What is the Least Common Multiple of 88830 and 88842?

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 88830 and 88842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88830 and 88842, than apply into the LCM equation.

GCF(88830,88842) = 6
LCM(88830,88842) = ( 88830 × 88842) / 6
LCM(88830,88842) = 7891834860 / 6
LCM(88830,88842) = 1315305810

Least Common Multiple (LCM) of 88830 and 88842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88830 and 88842. First we will calculate the prime factors of 88830 and 88842.

Prime Factorization of 88830

Prime Factorization of 88842

Now multiplying the highest exponent prime factors to calculate the LCM of 88830 and 88842.

LCM(88830,88842) = 2¹ × 3³ × 5¹ × 7¹ × 47¹ × 13¹ × 17¹ × 67¹
LCM(88830,88842) = 1315305810