What is the Least Common Multiple of 10416 and 10430?

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 10416 and 10430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10416 and 10430, than apply into the LCM equation.

GCF(10416,10430) = 14
LCM(10416,10430) = ( 10416 × 10430) / 14
LCM(10416,10430) = 108638880 / 14
LCM(10416,10430) = 7759920

Least Common Multiple (LCM) of 10416 and 10430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10416 and 10430. First we will calculate the prime factors of 10416 and 10430.

Prime Factorization of 10416

Prime Factorization of 10430

Now multiplying the highest exponent prime factors to calculate the LCM of 10416 and 10430.

LCM(10416,10430) = 2⁴ × 3¹ × 7¹ × 31¹ × 5¹ × 149¹
LCM(10416,10430) = 7759920