What is the Least Common Multiple of 73605 and 73620?

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 73605 and 73620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73605 and 73620, than apply into the LCM equation.

GCF(73605,73620) = 15
LCM(73605,73620) = ( 73605 × 73620) / 15
LCM(73605,73620) = 5418800100 / 15
LCM(73605,73620) = 361253340

Least Common Multiple (LCM) of 73605 and 73620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73605 and 73620. First we will calculate the prime factors of 73605 and 73620.

Prime Factorization of 73605

Prime Factorization of 73620

Now multiplying the highest exponent prime factors to calculate the LCM of 73605 and 73620.

LCM(73605,73620) = 3² × 5¹ × 7¹ × 701¹ × 2² × 409¹
LCM(73605,73620) = 361253340