What is the Least Common Multiple of 69488 and 69493?

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 69488 and 69493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69488 and 69493, than apply into the LCM equation.

GCF(69488,69493) = 1
LCM(69488,69493) = ( 69488 × 69493) / 1
LCM(69488,69493) = 4828929584 / 1
LCM(69488,69493) = 4828929584

Least Common Multiple (LCM) of 69488 and 69493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69488 and 69493. First we will calculate the prime factors of 69488 and 69493.

Prime Factorization of 69488

Prime Factorization of 69493

Now multiplying the highest exponent prime factors to calculate the LCM of 69488 and 69493.

LCM(69488,69493) = 2⁴ × 43¹ × 101¹ × 69493¹
LCM(69488,69493) = 4828929584