What is the Least Common Multiple of 97626 and 97642?

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 97626 and 97642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97626 and 97642, than apply into the LCM equation.

GCF(97626,97642) = 2
LCM(97626,97642) = ( 97626 × 97642) / 2
LCM(97626,97642) = 9532397892 / 2
LCM(97626,97642) = 4766198946

Least Common Multiple (LCM) of 97626 and 97642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97626 and 97642. First we will calculate the prime factors of 97626 and 97642.

Prime Factorization of 97626

Prime Factorization of 97642

Now multiplying the highest exponent prime factors to calculate the LCM of 97626 and 97642.

LCM(97626,97642) = 2¹ × 3¹ × 53¹ × 307¹ × 48821¹
LCM(97626,97642) = 4766198946