What is the Least Common Multiple of 6219 and 6235?

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 6219 and 6235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6219 and 6235, than apply into the LCM equation.

GCF(6219,6235) = 1
LCM(6219,6235) = ( 6219 × 6235) / 1
LCM(6219,6235) = 38775465 / 1
LCM(6219,6235) = 38775465

Least Common Multiple (LCM) of 6219 and 6235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6219 and 6235. First we will calculate the prime factors of 6219 and 6235.

Prime Factorization of 6219

Prime Factorization of 6235

Now multiplying the highest exponent prime factors to calculate the LCM of 6219 and 6235.

LCM(6219,6235) = 3² × 691¹ × 5¹ × 29¹ × 43¹
LCM(6219,6235) = 38775465