What is the Least Common Multiple of 86496 and 86516?

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 86496 and 86516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86496 and 86516, than apply into the LCM equation.

GCF(86496,86516) = 4
LCM(86496,86516) = ( 86496 × 86516) / 4
LCM(86496,86516) = 7483287936 / 4
LCM(86496,86516) = 1870821984

Least Common Multiple (LCM) of 86496 and 86516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86496 and 86516. First we will calculate the prime factors of 86496 and 86516.

Prime Factorization of 86496

Prime Factorization of 86516

Now multiplying the highest exponent prime factors to calculate the LCM of 86496 and 86516.

LCM(86496,86516) = 2⁵ × 3¹ × 17¹ × 53¹ × 43¹ × 503¹
LCM(86496,86516) = 1870821984