What is the Least Common Multiple of 97604 and 97617?

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 97604 and 97617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97604 and 97617, than apply into the LCM equation.

GCF(97604,97617) = 13
LCM(97604,97617) = ( 97604 × 97617) / 13
LCM(97604,97617) = 9527809668 / 13
LCM(97604,97617) = 732908436

Least Common Multiple (LCM) of 97604 and 97617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97604 and 97617. First we will calculate the prime factors of 97604 and 97617.

Prime Factorization of 97604

Prime Factorization of 97617

Now multiplying the highest exponent prime factors to calculate the LCM of 97604 and 97617.

LCM(97604,97617) = 2² × 13¹ × 1877¹ × 3¹ × 2503¹
LCM(97604,97617) = 732908436