What is the Least Common Multiple of 97020 and 97038?

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 97020 and 97038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97020 and 97038, than apply into the LCM equation.

GCF(97020,97038) = 18
LCM(97020,97038) = ( 97020 × 97038) / 18
LCM(97020,97038) = 9414626760 / 18
LCM(97020,97038) = 523034820

Least Common Multiple (LCM) of 97020 and 97038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97020 and 97038. First we will calculate the prime factors of 97020 and 97038.

Prime Factorization of 97020

Prime Factorization of 97038

Now multiplying the highest exponent prime factors to calculate the LCM of 97020 and 97038.

LCM(97020,97038) = 2² × 3⁴ × 5¹ × 7² × 11¹ × 599¹
LCM(97020,97038) = 523034820