What is the Least Common Multiple of 68219 and 68235?

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 68219 and 68235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68219 and 68235, than apply into the LCM equation.

GCF(68219,68235) = 1
LCM(68219,68235) = ( 68219 × 68235) / 1
LCM(68219,68235) = 4654923465 / 1
LCM(68219,68235) = 4654923465

Least Common Multiple (LCM) of 68219 and 68235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68219 and 68235. First we will calculate the prime factors of 68219 and 68235.

Prime Factorization of 68219

Prime Factorization of 68235

Now multiplying the highest exponent prime factors to calculate the LCM of 68219 and 68235.

LCM(68219,68235) = 68219¹ × 3¹ × 5¹ × 4549¹
LCM(68219,68235) = 4654923465