What is the Least Common Multiple of 49215 and 49235?

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 49215 and 49235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49215 and 49235, than apply into the LCM equation.

GCF(49215,49235) = 5
LCM(49215,49235) = ( 49215 × 49235) / 5
LCM(49215,49235) = 2423100525 / 5
LCM(49215,49235) = 484620105

Least Common Multiple (LCM) of 49215 and 49235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49215 and 49235. First we will calculate the prime factors of 49215 and 49235.

Prime Factorization of 49215

Prime Factorization of 49235

Now multiplying the highest exponent prime factors to calculate the LCM of 49215 and 49235.

LCM(49215,49235) = 3¹ × 5¹ × 17¹ × 193¹ × 43¹ × 229¹
LCM(49215,49235) = 484620105