What is the Least Common Multiple of 60690 and 60705?

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 60690 and 60705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60690 and 60705, than apply into the LCM equation.

GCF(60690,60705) = 15
LCM(60690,60705) = ( 60690 × 60705) / 15
LCM(60690,60705) = 3684186450 / 15
LCM(60690,60705) = 245612430

Least Common Multiple (LCM) of 60690 and 60705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60690 and 60705. First we will calculate the prime factors of 60690 and 60705.

Prime Factorization of 60690

Prime Factorization of 60705

Now multiplying the highest exponent prime factors to calculate the LCM of 60690 and 60705.

LCM(60690,60705) = 2¹ × 3² × 5¹ × 7¹ × 17² × 19¹ × 71¹
LCM(60690,60705) = 245612430