What is the Least Common Multiple of 69090 and 69098?

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 69090 and 69098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69090 and 69098, than apply into the LCM equation.

GCF(69090,69098) = 2
LCM(69090,69098) = ( 69090 × 69098) / 2
LCM(69090,69098) = 4773980820 / 2
LCM(69090,69098) = 2386990410

Least Common Multiple (LCM) of 69090 and 69098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69090 and 69098. First we will calculate the prime factors of 69090 and 69098.

Prime Factorization of 69090

Prime Factorization of 69098

Now multiplying the highest exponent prime factors to calculate the LCM of 69090 and 69098.

LCM(69090,69098) = 2¹ × 3¹ × 5¹ × 7² × 47¹ × 34549¹
LCM(69090,69098) = 2386990410