What is the Least Common Multiple of 77600 and 77613?

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 77600 and 77613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77600 and 77613, than apply into the LCM equation.

GCF(77600,77613) = 1
LCM(77600,77613) = ( 77600 × 77613) / 1
LCM(77600,77613) = 6022768800 / 1
LCM(77600,77613) = 6022768800

Least Common Multiple (LCM) of 77600 and 77613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77600 and 77613. First we will calculate the prime factors of 77600 and 77613.

Prime Factorization of 77600

Prime Factorization of 77613

Now multiplying the highest exponent prime factors to calculate the LCM of 77600 and 77613.

LCM(77600,77613) = 2⁵ × 5² × 97¹ × 3¹ × 41¹ × 631¹
LCM(77600,77613) = 6022768800