What is the Least Common Multiple of 69706 and 69713?

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 69706 and 69713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69706 and 69713, than apply into the LCM equation.

GCF(69706,69713) = 7
LCM(69706,69713) = ( 69706 × 69713) / 7
LCM(69706,69713) = 4859414378 / 7
LCM(69706,69713) = 694202054

Least Common Multiple (LCM) of 69706 and 69713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69706 and 69713. First we will calculate the prime factors of 69706 and 69713.

Prime Factorization of 69706

Prime Factorization of 69713

Now multiplying the highest exponent prime factors to calculate the LCM of 69706 and 69713.

LCM(69706,69713) = 2¹ × 7¹ × 13¹ × 383¹ × 23¹ × 433¹
LCM(69706,69713) = 694202054