What is the Least Common Multiple of 69753 and 69762?

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 69753 and 69762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69753 and 69762, than apply into the LCM equation.

GCF(69753,69762) = 3
LCM(69753,69762) = ( 69753 × 69762) / 3
LCM(69753,69762) = 4866108786 / 3
LCM(69753,69762) = 1622036262

Least Common Multiple (LCM) of 69753 and 69762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69753 and 69762. First we will calculate the prime factors of 69753 and 69762.

Prime Factorization of 69753

Prime Factorization of 69762

Now multiplying the highest exponent prime factors to calculate the LCM of 69753 and 69762.

LCM(69753,69762) = 3¹ × 23251¹ × 2¹ × 7¹ × 11¹ × 151¹
LCM(69753,69762) = 1622036262