What is the Least Common Multiple of 97064 and 97084?

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 97064 and 97084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97064 and 97084, than apply into the LCM equation.

GCF(97064,97084) = 4
LCM(97064,97084) = ( 97064 × 97084) / 4
LCM(97064,97084) = 9423361376 / 4
LCM(97064,97084) = 2355840344

Least Common Multiple (LCM) of 97064 and 97084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97064 and 97084. First we will calculate the prime factors of 97064 and 97084.

Prime Factorization of 97064

Prime Factorization of 97084

Now multiplying the highest exponent prime factors to calculate the LCM of 97064 and 97084.

LCM(97064,97084) = 2³ × 11¹ × 1103¹ × 13¹ × 1867¹
LCM(97064,97084) = 2355840344