What is the Least Common Multiple of 73035 and 73047?

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 73035 and 73047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73035 and 73047, than apply into the LCM equation.

GCF(73035,73047) = 3
LCM(73035,73047) = ( 73035 × 73047) / 3
LCM(73035,73047) = 5334987645 / 3
LCM(73035,73047) = 1778329215

Least Common Multiple (LCM) of 73035 and 73047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73035 and 73047. First we will calculate the prime factors of 73035 and 73047.

Prime Factorization of 73035

Prime Factorization of 73047

Now multiplying the highest exponent prime factors to calculate the LCM of 73035 and 73047.

LCM(73035,73047) = 3³ × 5¹ × 541¹ × 13¹ × 1873¹
LCM(73035,73047) = 1778329215