What is the Least Common Multiple of 42217 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 42217 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 42217 and 42234, than apply into the LCM equation.

GCF(42217,42234) = 1
LCM(42217,42234) = ( 42217 × 42234) / 1
LCM(42217,42234) = 1782992778 / 1
LCM(42217,42234) = 1782992778

Least Common Multiple (LCM) of 42217 and 42234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42217 and 42234. First we will calculate the prime factors of 42217 and 42234.

Prime Factorization of 42217

Prime Factorization of 42234

Now multiplying the highest exponent prime factors to calculate the LCM of 42217 and 42234.

LCM(42217,42234) = 7¹ × 37¹ × 163¹ × 2¹ × 3¹ × 7039¹
LCM(42217,42234) = 1782992778