What is the Least Common Multiple of 97482 and 97489?

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 97482 and 97489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97482 and 97489, than apply into the LCM equation.

GCF(97482,97489) = 7
LCM(97482,97489) = ( 97482 × 97489) / 7
LCM(97482,97489) = 9503422698 / 7
LCM(97482,97489) = 1357631814

Least Common Multiple (LCM) of 97482 and 97489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97482 and 97489. First we will calculate the prime factors of 97482 and 97489.

Prime Factorization of 97482

Prime Factorization of 97489

Now multiplying the highest exponent prime factors to calculate the LCM of 97482 and 97489.

LCM(97482,97489) = 2¹ × 3¹ × 7¹ × 11¹ × 211¹ × 19¹ × 733¹
LCM(97482,97489) = 1357631814