What is the Least Common Multiple of 96753 and 96765?

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 96753 and 96765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96753 and 96765, than apply into the LCM equation.

GCF(96753,96765) = 3
LCM(96753,96765) = ( 96753 × 96765) / 3
LCM(96753,96765) = 9362304045 / 3
LCM(96753,96765) = 3120768015

Least Common Multiple (LCM) of 96753 and 96765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96753 and 96765. First we will calculate the prime factors of 96753 and 96765.

Prime Factorization of 96753

Prime Factorization of 96765

Now multiplying the highest exponent prime factors to calculate the LCM of 96753 and 96765.

LCM(96753,96765) = 3¹ × 32251¹ × 5¹ × 6451¹
LCM(96753,96765) = 3120768015