What is the Least Common Multiple of 70219 and 70235?

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 70219 and 70235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70219 and 70235, than apply into the LCM equation.

GCF(70219,70235) = 1
LCM(70219,70235) = ( 70219 × 70235) / 1
LCM(70219,70235) = 4931831465 / 1
LCM(70219,70235) = 4931831465

Least Common Multiple (LCM) of 70219 and 70235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70219 and 70235. First we will calculate the prime factors of 70219 and 70235.

Prime Factorization of 70219

Prime Factorization of 70235

Now multiplying the highest exponent prime factors to calculate the LCM of 70219 and 70235.

LCM(70219,70235) = 23¹ × 43¹ × 71¹ × 5¹ × 11¹ × 1277¹
LCM(70219,70235) = 4931831465