What is the Least Common Multiple of 99770 and 99785?

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 99785 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 99785, than apply into the LCM equation.

GCF(99770,99785) = 5
LCM(99770,99785) = ( 99770 × 99785) / 5
LCM(99770,99785) = 9955549450 / 5
LCM(99770,99785) = 1991109890

Least Common Multiple (LCM) of 99770 and 99785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99770 and 99785. First we will calculate the prime factors of 99770 and 99785.

Prime Factorization of 99770

Prime Factorization of 99785

Now multiplying the highest exponent prime factors to calculate the LCM of 99770 and 99785.

LCM(99770,99785) = 2¹ × 5¹ × 11¹ × 907¹ × 7¹ × 2851¹
LCM(99770,99785) = 1991109890