What is the Least Common Multiple of 9520 and 9538?

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 9520 and 9538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9520 and 9538, than apply into the LCM equation.

GCF(9520,9538) = 2
LCM(9520,9538) = ( 9520 × 9538) / 2
LCM(9520,9538) = 90801760 / 2
LCM(9520,9538) = 45400880

Least Common Multiple (LCM) of 9520 and 9538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9520 and 9538. First we will calculate the prime factors of 9520 and 9538.

Prime Factorization of 9520

Prime Factorization of 9538

Now multiplying the highest exponent prime factors to calculate the LCM of 9520 and 9538.

LCM(9520,9538) = 2⁴ × 5¹ × 7¹ × 17¹ × 19¹ × 251¹
LCM(9520,9538) = 45400880