What is the Least Common Multiple of 97653 and 97662?

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 97653 and 97662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97653 and 97662, than apply into the LCM equation.

GCF(97653,97662) = 3
LCM(97653,97662) = ( 97653 × 97662) / 3
LCM(97653,97662) = 9536987286 / 3
LCM(97653,97662) = 3178995762

Least Common Multiple (LCM) of 97653 and 97662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97653 and 97662. First we will calculate the prime factors of 97653 and 97662.

Prime Factorization of 97653

Prime Factorization of 97662

Now multiplying the highest exponent prime factors to calculate the LCM of 97653 and 97662.

LCM(97653,97662) = 3¹ × 43¹ × 757¹ × 2¹ × 41¹ × 397¹
LCM(97653,97662) = 3178995762