What is the Least Common Multiple of 30219 and 30235?

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 30219 and 30235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30219 and 30235, than apply into the LCM equation.

GCF(30219,30235) = 1
LCM(30219,30235) = ( 30219 × 30235) / 1
LCM(30219,30235) = 913671465 / 1
LCM(30219,30235) = 913671465

Least Common Multiple (LCM) of 30219 and 30235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30219 and 30235. First we will calculate the prime factors of 30219 and 30235.

Prime Factorization of 30219

Prime Factorization of 30235

Now multiplying the highest exponent prime factors to calculate the LCM of 30219 and 30235.

LCM(30219,30235) = 3¹ × 7¹ × 1439¹ × 5¹ × 6047¹
LCM(30219,30235) = 913671465