What is the Least Common Multiple of 69783 and 69797?

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 69783 and 69797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69783 and 69797, than apply into the LCM equation.

GCF(69783,69797) = 7
LCM(69783,69797) = ( 69783 × 69797) / 7
LCM(69783,69797) = 4870644051 / 7
LCM(69783,69797) = 695806293

Least Common Multiple (LCM) of 69783 and 69797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69783 and 69797. First we will calculate the prime factors of 69783 and 69797.

Prime Factorization of 69783

Prime Factorization of 69797

Now multiplying the highest exponent prime factors to calculate the LCM of 69783 and 69797.

LCM(69783,69797) = 3¹ × 7¹ × 3323¹ × 13² × 59¹
LCM(69783,69797) = 695806293