What is the Least Common Multiple of 60816 and 60827?

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 60827 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 60827, than apply into the LCM equation.

GCF(60816,60827) = 1
LCM(60816,60827) = ( 60816 × 60827) / 1
LCM(60816,60827) = 3699254832 / 1
LCM(60816,60827) = 3699254832

Least Common Multiple (LCM) of 60816 and 60827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60816 and 60827. First we will calculate the prime factors of 60816 and 60827.

Prime Factorization of 60816

Prime Factorization of 60827

Now multiplying the highest exponent prime factors to calculate the LCM of 60816 and 60827.

LCM(60816,60827) = 2⁴ × 3¹ × 7¹ × 181¹ × 13¹ × 4679¹
LCM(60816,60827) = 3699254832