What is the Least Common Multiple of 73764 and 73780?

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 73764 and 73780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73764 and 73780, than apply into the LCM equation.

GCF(73764,73780) = 4
LCM(73764,73780) = ( 73764 × 73780) / 4
LCM(73764,73780) = 5442307920 / 4
LCM(73764,73780) = 1360576980

Least Common Multiple (LCM) of 73764 and 73780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73764 and 73780. First we will calculate the prime factors of 73764 and 73780.

Prime Factorization of 73764

Prime Factorization of 73780

Now multiplying the highest exponent prime factors to calculate the LCM of 73764 and 73780.

LCM(73764,73780) = 2² × 3³ × 683¹ × 5¹ × 7¹ × 17¹ × 31¹
LCM(73764,73780) = 1360576980