What is the Least Common Multiple of 73535 and 73546?

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 73535 and 73546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73535 and 73546, than apply into the LCM equation.

GCF(73535,73546) = 11
LCM(73535,73546) = ( 73535 × 73546) / 11
LCM(73535,73546) = 5408205110 / 11
LCM(73535,73546) = 491655010

Least Common Multiple (LCM) of 73535 and 73546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73535 and 73546. First we will calculate the prime factors of 73535 and 73546.

Prime Factorization of 73535

Prime Factorization of 73546

Now multiplying the highest exponent prime factors to calculate the LCM of 73535 and 73546.

LCM(73535,73546) = 5¹ × 7¹ × 11¹ × 191¹ × 2¹ × 3343¹
LCM(73535,73546) = 491655010