What is the Least Common Multiple of 97350 and 97362?

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 97362 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 97362, than apply into the LCM equation.

GCF(97350,97362) = 6
LCM(97350,97362) = ( 97350 × 97362) / 6
LCM(97350,97362) = 9478190700 / 6
LCM(97350,97362) = 1579698450

Least Common Multiple (LCM) of 97350 and 97362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97350 and 97362. First we will calculate the prime factors of 97350 and 97362.

Prime Factorization of 97350

Prime Factorization of 97362

Now multiplying the highest exponent prime factors to calculate the LCM of 97350 and 97362.

LCM(97350,97362) = 2¹ × 3⁴ × 5² × 11¹ × 59¹ × 601¹
LCM(97350,97362) = 1579698450