What is the Least Common Multiple of 9590 and 9608?

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 9590 and 9608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9590 and 9608, than apply into the LCM equation.

GCF(9590,9608) = 2
LCM(9590,9608) = ( 9590 × 9608) / 2
LCM(9590,9608) = 92140720 / 2
LCM(9590,9608) = 46070360

Least Common Multiple (LCM) of 9590 and 9608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9590 and 9608. First we will calculate the prime factors of 9590 and 9608.

Prime Factorization of 9590

Prime Factorization of 9608

Now multiplying the highest exponent prime factors to calculate the LCM of 9590 and 9608.

LCM(9590,9608) = 2³ × 5¹ × 7¹ × 137¹ × 1201¹
LCM(9590,9608) = 46070360