What is the Least Common Multiple of 73929 and 73940?

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 73929 and 73940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73929 and 73940, than apply into the LCM equation.

GCF(73929,73940) = 1
LCM(73929,73940) = ( 73929 × 73940) / 1
LCM(73929,73940) = 5466310260 / 1
LCM(73929,73940) = 5466310260

Least Common Multiple (LCM) of 73929 and 73940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73929 and 73940. First we will calculate the prime factors of 73929 and 73940.

Prime Factorization of 73929

Prime Factorization of 73940

Now multiplying the highest exponent prime factors to calculate the LCM of 73929 and 73940.

LCM(73929,73940) = 3¹ × 19¹ × 1297¹ × 2² × 5¹ × 3697¹
LCM(73929,73940) = 5466310260