What is the Least Common Multiple of 70242 and 70253?

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 70242 and 70253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70242 and 70253, than apply into the LCM equation.

GCF(70242,70253) = 1
LCM(70242,70253) = ( 70242 × 70253) / 1
LCM(70242,70253) = 4934711226 / 1
LCM(70242,70253) = 4934711226

Least Common Multiple (LCM) of 70242 and 70253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70242 and 70253. First we will calculate the prime factors of 70242 and 70253.

Prime Factorization of 70242

Prime Factorization of 70253

Now multiplying the highest exponent prime factors to calculate the LCM of 70242 and 70253.

LCM(70242,70253) = 2¹ × 3¹ × 23¹ × 509¹ × 163¹ × 431¹
LCM(70242,70253) = 4934711226