What is the Least Common Multiple of 60816 and 60821?

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 60816 and 60821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60816 and 60821, than apply into the LCM equation.

GCF(60816,60821) = 1
LCM(60816,60821) = ( 60816 × 60821) / 1
LCM(60816,60821) = 3698889936 / 1
LCM(60816,60821) = 3698889936

Least Common Multiple (LCM) of 60816 and 60821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60816 and 60821. First we will calculate the prime factors of 60816 and 60821.

Prime Factorization of 60816

Prime Factorization of 60821

Now multiplying the highest exponent prime factors to calculate the LCM of 60816 and 60821.

LCM(60816,60821) = 2⁴ × 3¹ × 7¹ × 181¹ × 60821¹
LCM(60816,60821) = 3698889936