What is the Least Common Multiple of 42258 and 42270?

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 42258 and 42270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42258 and 42270, than apply into the LCM equation.

GCF(42258,42270) = 6
LCM(42258,42270) = ( 42258 × 42270) / 6
LCM(42258,42270) = 1786245660 / 6
LCM(42258,42270) = 297707610

Least Common Multiple (LCM) of 42258 and 42270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42258 and 42270. First we will calculate the prime factors of 42258 and 42270.

Prime Factorization of 42258

Prime Factorization of 42270

Now multiplying the highest exponent prime factors to calculate the LCM of 42258 and 42270.

LCM(42258,42270) = 2¹ × 3¹ × 7043¹ × 5¹ × 1409¹
LCM(42258,42270) = 297707610