What is the Least Common Multiple of 96690 and 96705?

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 96690 and 96705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96690 and 96705, than apply into the LCM equation.

GCF(96690,96705) = 15
LCM(96690,96705) = ( 96690 × 96705) / 15
LCM(96690,96705) = 9350406450 / 15
LCM(96690,96705) = 623360430

Least Common Multiple (LCM) of 96690 and 96705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96690 and 96705. First we will calculate the prime factors of 96690 and 96705.

Prime Factorization of 96690

Prime Factorization of 96705

Now multiplying the highest exponent prime factors to calculate the LCM of 96690 and 96705.

LCM(96690,96705) = 2¹ × 3² × 5¹ × 11¹ × 293¹ × 7¹ × 307¹
LCM(96690,96705) = 623360430