What is the Least Common Multiple of 97617 and 97622?

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 97617 and 97622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97617 and 97622, than apply into the LCM equation.

GCF(97617,97622) = 1
LCM(97617,97622) = ( 97617 × 97622) / 1
LCM(97617,97622) = 9529566774 / 1
LCM(97617,97622) = 9529566774

Least Common Multiple (LCM) of 97617 and 97622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97617 and 97622. First we will calculate the prime factors of 97617 and 97622.

Prime Factorization of 97617

Prime Factorization of 97622

Now multiplying the highest exponent prime factors to calculate the LCM of 97617 and 97622.

LCM(97617,97622) = 3¹ × 13¹ × 2503¹ × 2¹ × 7¹ × 19¹ × 367¹
LCM(97617,97622) = 9529566774