What is the Least Common Multiple of 42205 and 42222?

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 42205 and 42222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42205 and 42222, than apply into the LCM equation.

GCF(42205,42222) = 1
LCM(42205,42222) = ( 42205 × 42222) / 1
LCM(42205,42222) = 1781979510 / 1
LCM(42205,42222) = 1781979510

Least Common Multiple (LCM) of 42205 and 42222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42205 and 42222. First we will calculate the prime factors of 42205 and 42222.

Prime Factorization of 42205

Prime Factorization of 42222

Now multiplying the highest exponent prime factors to calculate the LCM of 42205 and 42222.

LCM(42205,42222) = 5¹ × 23¹ × 367¹ × 2¹ × 3¹ × 31¹ × 227¹
LCM(42205,42222) = 1781979510