What is the Least Common Multiple of 69748 and 69766?

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 69748 and 69766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69748 and 69766, than apply into the LCM equation.

GCF(69748,69766) = 2
LCM(69748,69766) = ( 69748 × 69766) / 2
LCM(69748,69766) = 4866038968 / 2
LCM(69748,69766) = 2433019484

Least Common Multiple (LCM) of 69748 and 69766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69748 and 69766. First we will calculate the prime factors of 69748 and 69766.

Prime Factorization of 69748

Prime Factorization of 69766

Now multiplying the highest exponent prime factors to calculate the LCM of 69748 and 69766.

LCM(69748,69766) = 2² × 7¹ × 47¹ × 53¹ × 34883¹
LCM(69748,69766) = 2433019484