What is the Least Common Multiple of 42210 and 42217?

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 42210 and 42217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42210 and 42217, than apply into the LCM equation.

GCF(42210,42217) = 7
LCM(42210,42217) = ( 42210 × 42217) / 7
LCM(42210,42217) = 1781979570 / 7
LCM(42210,42217) = 254568510

Least Common Multiple (LCM) of 42210 and 42217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42210 and 42217. First we will calculate the prime factors of 42210 and 42217.

Prime Factorization of 42210

Prime Factorization of 42217

Now multiplying the highest exponent prime factors to calculate the LCM of 42210 and 42217.

LCM(42210,42217) = 2¹ × 3² × 5¹ × 7¹ × 67¹ × 37¹ × 163¹
LCM(42210,42217) = 254568510