What is the Least Common Multiple of 97370 and 97384?

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 97370 and 97384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97370 and 97384, than apply into the LCM equation.

GCF(97370,97384) = 14
LCM(97370,97384) = ( 97370 × 97384) / 14
LCM(97370,97384) = 9482280080 / 14
LCM(97370,97384) = 677305720

Least Common Multiple (LCM) of 97370 and 97384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97370 and 97384. First we will calculate the prime factors of 97370 and 97384.

Prime Factorization of 97370

Prime Factorization of 97384

Now multiplying the highest exponent prime factors to calculate the LCM of 97370 and 97384.

LCM(97370,97384) = 2³ × 5¹ × 7¹ × 13¹ × 107¹ × 37¹ × 47¹
LCM(97370,97384) = 677305720