What is the Least Common Multiple of 97776 and 97785?

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 97776 and 97785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97776 and 97785, than apply into the LCM equation.

GCF(97776,97785) = 9
LCM(97776,97785) = ( 97776 × 97785) / 9
LCM(97776,97785) = 9561026160 / 9
LCM(97776,97785) = 1062336240

Least Common Multiple (LCM) of 97776 and 97785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97776 and 97785. First we will calculate the prime factors of 97776 and 97785.

Prime Factorization of 97776

Prime Factorization of 97785

Now multiplying the highest exponent prime factors to calculate the LCM of 97776 and 97785.

LCM(97776,97785) = 2⁴ × 3² × 7¹ × 97¹ × 5¹ × 41¹ × 53¹
LCM(97776,97785) = 1062336240