What is the Least Common Multiple of 69445 and 69462?

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 69445 and 69462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69445 and 69462, than apply into the LCM equation.

GCF(69445,69462) = 17
LCM(69445,69462) = ( 69445 × 69462) / 17
LCM(69445,69462) = 4823788590 / 17
LCM(69445,69462) = 283752270

Least Common Multiple (LCM) of 69445 and 69462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69445 and 69462. First we will calculate the prime factors of 69445 and 69462.

Prime Factorization of 69445

Prime Factorization of 69462

Now multiplying the highest exponent prime factors to calculate the LCM of 69445 and 69462.

LCM(69445,69462) = 5¹ × 17¹ × 19¹ × 43¹ × 2¹ × 3² × 227¹
LCM(69445,69462) = 283752270