What is the Least Common Multiple of 79636 and 79652?

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 79636 and 79652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79636 and 79652, than apply into the LCM equation.

GCF(79636,79652) = 4
LCM(79636,79652) = ( 79636 × 79652) / 4
LCM(79636,79652) = 6343166672 / 4
LCM(79636,79652) = 1585791668

Least Common Multiple (LCM) of 79636 and 79652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79636 and 79652. First we will calculate the prime factors of 79636 and 79652.

Prime Factorization of 79636

Prime Factorization of 79652

Now multiplying the highest exponent prime factors to calculate the LCM of 79636 and 79652.

LCM(79636,79652) = 2² × 43¹ × 463¹ × 19913¹
LCM(79636,79652) = 1585791668