What is the Least Common Multiple of 79840 and 79856?

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 79840 and 79856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79840 and 79856, than apply into the LCM equation.

GCF(79840,79856) = 16
LCM(79840,79856) = ( 79840 × 79856) / 16
LCM(79840,79856) = 6375703040 / 16
LCM(79840,79856) = 398481440

Least Common Multiple (LCM) of 79840 and 79856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79840 and 79856. First we will calculate the prime factors of 79840 and 79856.

Prime Factorization of 79840

Prime Factorization of 79856

Now multiplying the highest exponent prime factors to calculate the LCM of 79840 and 79856.

LCM(79840,79856) = 2⁵ × 5¹ × 499¹ × 7¹ × 23¹ × 31¹
LCM(79840,79856) = 398481440