What is the Least Common Multiple of 61523 and 61537?

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 61523 and 61537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61523 and 61537, than apply into the LCM equation.

GCF(61523,61537) = 7
LCM(61523,61537) = ( 61523 × 61537) / 7
LCM(61523,61537) = 3785940851 / 7
LCM(61523,61537) = 540848693

Least Common Multiple (LCM) of 61523 and 61537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61523 and 61537. First we will calculate the prime factors of 61523 and 61537.

Prime Factorization of 61523

Prime Factorization of 61537

Now multiplying the highest exponent prime factors to calculate the LCM of 61523 and 61537.

LCM(61523,61537) = 7¹ × 11¹ × 17¹ × 47¹ × 59¹ × 149¹
LCM(61523,61537) = 540848693