What is the Least Common Multiple of 60816 and 60824?

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 60824 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 60824, than apply into the LCM equation.

GCF(60816,60824) = 8
LCM(60816,60824) = ( 60816 × 60824) / 8
LCM(60816,60824) = 3699072384 / 8
LCM(60816,60824) = 462384048

Least Common Multiple (LCM) of 60816 and 60824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60816 and 60824. First we will calculate the prime factors of 60816 and 60824.

Prime Factorization of 60816

Prime Factorization of 60824

Now multiplying the highest exponent prime factors to calculate the LCM of 60816 and 60824.

LCM(60816,60824) = 2⁴ × 3¹ × 7¹ × 181¹ × 7603¹
LCM(60816,60824) = 462384048