What is the Least Common Multiple of 83220 and 83235?

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 83220 and 83235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83220 and 83235, than apply into the LCM equation.

GCF(83220,83235) = 15
LCM(83220,83235) = ( 83220 × 83235) / 15
LCM(83220,83235) = 6926816700 / 15
LCM(83220,83235) = 461787780

Least Common Multiple (LCM) of 83220 and 83235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83220 and 83235. First we will calculate the prime factors of 83220 and 83235.

Prime Factorization of 83220

Prime Factorization of 83235

Now multiplying the highest exponent prime factors to calculate the LCM of 83220 and 83235.

LCM(83220,83235) = 2² × 3¹ × 5¹ × 19¹ × 73¹ × 31¹ × 179¹
LCM(83220,83235) = 461787780