What is the Least Common Multiple of 96770 and 96785?

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 96770 and 96785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96770 and 96785, than apply into the LCM equation.

GCF(96770,96785) = 5
LCM(96770,96785) = ( 96770 × 96785) / 5
LCM(96770,96785) = 9365884450 / 5
LCM(96770,96785) = 1873176890

Least Common Multiple (LCM) of 96770 and 96785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96770 and 96785. First we will calculate the prime factors of 96770 and 96785.

Prime Factorization of 96770

Prime Factorization of 96785

Now multiplying the highest exponent prime factors to calculate the LCM of 96770 and 96785.

LCM(96770,96785) = 2¹ × 5¹ × 9677¹ × 13¹ × 1489¹
LCM(96770,96785) = 1873176890