What is the Least Common Multiple of 97935 and 97944?

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 97935 and 97944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97935 and 97944, than apply into the LCM equation.

GCF(97935,97944) = 3
LCM(97935,97944) = ( 97935 × 97944) / 3
LCM(97935,97944) = 9592145640 / 3
LCM(97935,97944) = 3197381880

Least Common Multiple (LCM) of 97935 and 97944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97935 and 97944. First we will calculate the prime factors of 97935 and 97944.

Prime Factorization of 97935

Prime Factorization of 97944

Now multiplying the highest exponent prime factors to calculate the LCM of 97935 and 97944.

LCM(97935,97944) = 3¹ × 5¹ × 6529¹ × 2³ × 7¹ × 11¹ × 53¹
LCM(97935,97944) = 3197381880