What is the Least Common Multiple of 69685 and 69699?

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 69685 and 69699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69685 and 69699, than apply into the LCM equation.

GCF(69685,69699) = 7
LCM(69685,69699) = ( 69685 × 69699) / 7
LCM(69685,69699) = 4856974815 / 7
LCM(69685,69699) = 693853545

Least Common Multiple (LCM) of 69685 and 69699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69685 and 69699. First we will calculate the prime factors of 69685 and 69699.

Prime Factorization of 69685

Prime Factorization of 69699

Now multiplying the highest exponent prime factors to calculate the LCM of 69685 and 69699.

LCM(69685,69699) = 5¹ × 7¹ × 11¹ × 181¹ × 3¹ × 3319¹
LCM(69685,69699) = 693853545