What is the Least Common Multiple of 5772 and 5788?

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 5772 and 5788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5772 and 5788, than apply into the LCM equation.

GCF(5772,5788) = 4
LCM(5772,5788) = ( 5772 × 5788) / 4
LCM(5772,5788) = 33408336 / 4
LCM(5772,5788) = 8352084

Least Common Multiple (LCM) of 5772 and 5788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5772 and 5788. First we will calculate the prime factors of 5772 and 5788.

Prime Factorization of 5772

Prime Factorization of 5788

Now multiplying the highest exponent prime factors to calculate the LCM of 5772 and 5788.

LCM(5772,5788) = 2² × 3¹ × 13¹ × 37¹ × 1447¹
LCM(5772,5788) = 8352084