What is the Least Common Multiple of 97038 and 97046?

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 97038 and 97046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97038 and 97046, than apply into the LCM equation.

GCF(97038,97046) = 2
LCM(97038,97046) = ( 97038 × 97046) / 2
LCM(97038,97046) = 9417149748 / 2
LCM(97038,97046) = 4708574874

Least Common Multiple (LCM) of 97038 and 97046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97038 and 97046. First we will calculate the prime factors of 97038 and 97046.

Prime Factorization of 97038

Prime Factorization of 97046

Now multiplying the highest exponent prime factors to calculate the LCM of 97038 and 97046.

LCM(97038,97046) = 2¹ × 3⁴ × 599¹ × 48523¹
LCM(97038,97046) = 4708574874