What is the Least Common Multiple of 73820 and 73836?

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 73820 and 73836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73820 and 73836, than apply into the LCM equation.

GCF(73820,73836) = 4
LCM(73820,73836) = ( 73820 × 73836) / 4
LCM(73820,73836) = 5450573520 / 4
LCM(73820,73836) = 1362643380

Least Common Multiple (LCM) of 73820 and 73836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73820 and 73836. First we will calculate the prime factors of 73820 and 73836.

Prime Factorization of 73820

Prime Factorization of 73836

Now multiplying the highest exponent prime factors to calculate the LCM of 73820 and 73836.

LCM(73820,73836) = 2² × 5¹ × 3691¹ × 3² × 7¹ × 293¹
LCM(73820,73836) = 1362643380