What is the Least Common Multiple of 99770 and 99786?

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 99770 and 99786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99770 and 99786, than apply into the LCM equation.

GCF(99770,99786) = 2
LCM(99770,99786) = ( 99770 × 99786) / 2
LCM(99770,99786) = 9955649220 / 2
LCM(99770,99786) = 4977824610

Least Common Multiple (LCM) of 99770 and 99786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99770 and 99786. First we will calculate the prime factors of 99770 and 99786.

Prime Factorization of 99770

Prime Factorization of 99786

Now multiplying the highest exponent prime factors to calculate the LCM of 99770 and 99786.

LCM(99770,99786) = 2¹ × 5¹ × 11¹ × 907¹ × 3¹ × 16631¹
LCM(99770,99786) = 4977824610