What is the Least Common Multiple of 72936 and 72945?

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 72936 and 72945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72936 and 72945, than apply into the LCM equation.

GCF(72936,72945) = 9
LCM(72936,72945) = ( 72936 × 72945) / 9
LCM(72936,72945) = 5320316520 / 9
LCM(72936,72945) = 591146280

Least Common Multiple (LCM) of 72936 and 72945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72936 and 72945. First we will calculate the prime factors of 72936 and 72945.

Prime Factorization of 72936

Prime Factorization of 72945

Now multiplying the highest exponent prime factors to calculate the LCM of 72936 and 72945.

LCM(72936,72945) = 2³ × 3² × 1013¹ × 5¹ × 1621¹
LCM(72936,72945) = 591146280