What is the Least Common Multiple of 97944 and 97964?

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 97944 and 97964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97944 and 97964, than apply into the LCM equation.

GCF(97944,97964) = 4
LCM(97944,97964) = ( 97944 × 97964) / 4
LCM(97944,97964) = 9594986016 / 4
LCM(97944,97964) = 2398746504

Least Common Multiple (LCM) of 97944 and 97964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97944 and 97964. First we will calculate the prime factors of 97944 and 97964.

Prime Factorization of 97944

Prime Factorization of 97964

Now multiplying the highest exponent prime factors to calculate the LCM of 97944 and 97964.

LCM(97944,97964) = 2³ × 3¹ × 7¹ × 11¹ × 53¹ × 19¹ × 1289¹
LCM(97944,97964) = 2398746504