What is the Least Common Multiple of 73523 and 73535?

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 73535 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 73535, than apply into the LCM equation.

GCF(73523,73535) = 1
LCM(73523,73535) = ( 73523 × 73535) / 1
LCM(73523,73535) = 5406513805 / 1
LCM(73523,73535) = 5406513805

Least Common Multiple (LCM) of 73523 and 73535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73523 and 73535. First we will calculate the prime factors of 73523 and 73535.

Prime Factorization of 73523

Prime Factorization of 73535

Now multiplying the highest exponent prime factors to calculate the LCM of 73523 and 73535.

LCM(73523,73535) = 73523¹ × 5¹ × 7¹ × 11¹ × 191¹
LCM(73523,73535) = 5406513805