What is the Least Common Multiple of 79216 and 79235?

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 79216 and 79235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79216 and 79235, than apply into the LCM equation.

GCF(79216,79235) = 1
LCM(79216,79235) = ( 79216 × 79235) / 1
LCM(79216,79235) = 6276679760 / 1
LCM(79216,79235) = 6276679760

Least Common Multiple (LCM) of 79216 and 79235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79216 and 79235. First we will calculate the prime factors of 79216 and 79235.

Prime Factorization of 79216

Prime Factorization of 79235

Now multiplying the highest exponent prime factors to calculate the LCM of 79216 and 79235.

LCM(79216,79235) = 2⁴ × 4951¹ × 5¹ × 13¹ × 23¹ × 53¹
LCM(79216,79235) = 6276679760