What is the Least Common Multiple of 60819 and 60837?

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 60819 and 60837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60819 and 60837, than apply into the LCM equation.

GCF(60819,60837) = 3
LCM(60819,60837) = ( 60819 × 60837) / 3
LCM(60819,60837) = 3700045503 / 3
LCM(60819,60837) = 1233348501

Least Common Multiple (LCM) of 60819 and 60837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60819 and 60837. First we will calculate the prime factors of 60819 and 60837.

Prime Factorization of 60819

Prime Factorization of 60837

Now multiplying the highest exponent prime factors to calculate the LCM of 60819 and 60837.

LCM(60819,60837) = 3¹ × 11¹ × 19¹ × 97¹ × 7¹ × 2897¹
LCM(60819,60837) = 1233348501