What is the Least Common Multiple of 97755 and 97773?

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 97755 and 97773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97755 and 97773, than apply into the LCM equation.

GCF(97755,97773) = 3
LCM(97755,97773) = ( 97755 × 97773) / 3
LCM(97755,97773) = 9557799615 / 3
LCM(97755,97773) = 3185933205

Least Common Multiple (LCM) of 97755 and 97773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97755 and 97773. First we will calculate the prime factors of 97755 and 97773.

Prime Factorization of 97755

Prime Factorization of 97773

Now multiplying the highest exponent prime factors to calculate the LCM of 97755 and 97773.

LCM(97755,97773) = 3¹ × 5¹ × 7³ × 19¹ × 13¹ × 23¹ × 109¹
LCM(97755,97773) = 3185933205