What is the Least Common Multiple of 69692 and 69697?

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 69692 and 69697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69692 and 69697, than apply into the LCM equation.

GCF(69692,69697) = 1
LCM(69692,69697) = ( 69692 × 69697) / 1
LCM(69692,69697) = 4857323324 / 1
LCM(69692,69697) = 4857323324

Least Common Multiple (LCM) of 69692 and 69697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69692 and 69697. First we will calculate the prime factors of 69692 and 69697.

Prime Factorization of 69692

Prime Factorization of 69697

Now multiplying the highest exponent prime factors to calculate the LCM of 69692 and 69697.

LCM(69692,69697) = 2² × 7¹ × 19¹ × 131¹ × 69697¹
LCM(69692,69697) = 4857323324