What is the Least Common Multiple of 69378 and 69394?

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 69378 and 69394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69378 and 69394, than apply into the LCM equation.

GCF(69378,69394) = 2
LCM(69378,69394) = ( 69378 × 69394) / 2
LCM(69378,69394) = 4814416932 / 2
LCM(69378,69394) = 2407208466

Least Common Multiple (LCM) of 69378 and 69394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69378 and 69394. First we will calculate the prime factors of 69378 and 69394.

Prime Factorization of 69378

Prime Factorization of 69394

Now multiplying the highest exponent prime factors to calculate the LCM of 69378 and 69394.

LCM(69378,69394) = 2¹ × 3¹ × 31¹ × 373¹ × 13¹ × 17¹ × 157¹
LCM(69378,69394) = 2407208466