What is the Least Common Multiple of 42216 and 42234?

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 42216 and 42234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42216 and 42234, than apply into the LCM equation.

GCF(42216,42234) = 6
LCM(42216,42234) = ( 42216 × 42234) / 6
LCM(42216,42234) = 1782950544 / 6
LCM(42216,42234) = 297158424

Least Common Multiple (LCM) of 42216 and 42234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42216 and 42234. First we will calculate the prime factors of 42216 and 42234.

Prime Factorization of 42216

Prime Factorization of 42234

Now multiplying the highest exponent prime factors to calculate the LCM of 42216 and 42234.

LCM(42216,42234) = 2³ × 3¹ × 1759¹ × 7039¹
LCM(42216,42234) = 297158424