What is the Least Common Multiple of 20258 and 20272?

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 20258 and 20272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20258 and 20272, than apply into the LCM equation.

GCF(20258,20272) = 14
LCM(20258,20272) = ( 20258 × 20272) / 14
LCM(20258,20272) = 410670176 / 14
LCM(20258,20272) = 29333584

Least Common Multiple (LCM) of 20258 and 20272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20258 and 20272. First we will calculate the prime factors of 20258 and 20272.

Prime Factorization of 20258

Prime Factorization of 20272

Now multiplying the highest exponent prime factors to calculate the LCM of 20258 and 20272.

LCM(20258,20272) = 2⁴ × 7¹ × 1447¹ × 181¹
LCM(20258,20272) = 29333584