What is the Least Common Multiple of 42238 and 42253?

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 42238 and 42253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42238 and 42253, than apply into the LCM equation.

GCF(42238,42253) = 1
LCM(42238,42253) = ( 42238 × 42253) / 1
LCM(42238,42253) = 1784682214 / 1
LCM(42238,42253) = 1784682214

Least Common Multiple (LCM) of 42238 and 42253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42238 and 42253. First we will calculate the prime factors of 42238 and 42253.

Prime Factorization of 42238

Prime Factorization of 42253

Now multiplying the highest exponent prime factors to calculate the LCM of 42238 and 42253.

LCM(42238,42253) = 2¹ × 7² × 431¹ × 29¹ × 31¹ × 47¹
LCM(42238,42253) = 1784682214