What is the Least Common Multiple of 69626 and 69645?

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 69626 and 69645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69626 and 69645, than apply into the LCM equation.

GCF(69626,69645) = 1
LCM(69626,69645) = ( 69626 × 69645) / 1
LCM(69626,69645) = 4849102770 / 1
LCM(69626,69645) = 4849102770

Least Common Multiple (LCM) of 69626 and 69645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69626 and 69645. First we will calculate the prime factors of 69626 and 69645.

Prime Factorization of 69626

Prime Factorization of 69645

Now multiplying the highest exponent prime factors to calculate the LCM of 69626 and 69645.

LCM(69626,69645) = 2¹ × 31¹ × 1123¹ × 3¹ × 5¹ × 4643¹
LCM(69626,69645) = 4849102770