What is the Least Common Multiple of 76844 and 76852?

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 76844 and 76852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76844 and 76852, than apply into the LCM equation.

GCF(76844,76852) = 4
LCM(76844,76852) = ( 76844 × 76852) / 4
LCM(76844,76852) = 5905615088 / 4
LCM(76844,76852) = 1476403772

Least Common Multiple (LCM) of 76844 and 76852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76844 and 76852. First we will calculate the prime factors of 76844 and 76852.

Prime Factorization of 76844

Prime Factorization of 76852

Now multiplying the highest exponent prime factors to calculate the LCM of 76844 and 76852.

LCM(76844,76852) = 2² × 19211¹ × 19213¹
LCM(76844,76852) = 1476403772