What is the Least Common Multiple of 61803 and 61812?

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 61803 and 61812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61803 and 61812, than apply into the LCM equation.

GCF(61803,61812) = 9
LCM(61803,61812) = ( 61803 × 61812) / 9
LCM(61803,61812) = 3820167036 / 9
LCM(61803,61812) = 424463004

Least Common Multiple (LCM) of 61803 and 61812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61803 and 61812. First we will calculate the prime factors of 61803 and 61812.

Prime Factorization of 61803

Prime Factorization of 61812

Now multiplying the highest exponent prime factors to calculate the LCM of 61803 and 61812.

LCM(61803,61812) = 3⁴ × 7¹ × 109¹ × 2² × 17¹ × 101¹
LCM(61803,61812) = 424463004