What is the Least Common Multiple of 73350 and 73370?

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 73350 and 73370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73350 and 73370, than apply into the LCM equation.

GCF(73350,73370) = 10
LCM(73350,73370) = ( 73350 × 73370) / 10
LCM(73350,73370) = 5381689500 / 10
LCM(73350,73370) = 538168950

Least Common Multiple (LCM) of 73350 and 73370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73350 and 73370. First we will calculate the prime factors of 73350 and 73370.

Prime Factorization of 73350

Prime Factorization of 73370

Now multiplying the highest exponent prime factors to calculate the LCM of 73350 and 73370.

LCM(73350,73370) = 2¹ × 3² × 5² × 163¹ × 11¹ × 23¹ × 29¹
LCM(73350,73370) = 538168950