What is the Least Common Multiple of 73523 and 73541?

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 73523 and 73541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73523 and 73541, than apply into the LCM equation.

GCF(73523,73541) = 1
LCM(73523,73541) = ( 73523 × 73541) / 1
LCM(73523,73541) = 5406954943 / 1
LCM(73523,73541) = 5406954943

Least Common Multiple (LCM) of 73523 and 73541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73523 and 73541. First we will calculate the prime factors of 73523 and 73541.

Prime Factorization of 73523

Prime Factorization of 73541

Now multiplying the highest exponent prime factors to calculate the LCM of 73523 and 73541.

LCM(73523,73541) = 73523¹ × 13¹ × 5657¹
LCM(73523,73541) = 5406954943