What is the Least Common Multiple of 97350 and 97365?

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 97350 and 97365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97350 and 97365, than apply into the LCM equation.

GCF(97350,97365) = 15
LCM(97350,97365) = ( 97350 × 97365) / 15
LCM(97350,97365) = 9478482750 / 15
LCM(97350,97365) = 631898850

Least Common Multiple (LCM) of 97350 and 97365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97350 and 97365. First we will calculate the prime factors of 97350 and 97365.

Prime Factorization of 97350

Prime Factorization of 97365

Now multiplying the highest exponent prime factors to calculate the LCM of 97350 and 97365.

LCM(97350,97365) = 2¹ × 3¹ × 5² × 11¹ × 59¹ × 6491¹
LCM(97350,97365) = 631898850