What is the Least Common Multiple of 77216 and 77235?

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 77216 and 77235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77216 and 77235, than apply into the LCM equation.

GCF(77216,77235) = 19
LCM(77216,77235) = ( 77216 × 77235) / 19
LCM(77216,77235) = 5963777760 / 19
LCM(77216,77235) = 313883040

Least Common Multiple (LCM) of 77216 and 77235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77216 and 77235. First we will calculate the prime factors of 77216 and 77235.

Prime Factorization of 77216

Prime Factorization of 77235

Now multiplying the highest exponent prime factors to calculate the LCM of 77216 and 77235.

LCM(77216,77235) = 2⁵ × 19¹ × 127¹ × 3¹ × 5¹ × 271¹
LCM(77216,77235) = 313883040