What is the Least Common Multiple of 60693 and 60712?

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 60693 and 60712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60693 and 60712, than apply into the LCM equation.

GCF(60693,60712) = 1
LCM(60693,60712) = ( 60693 × 60712) / 1
LCM(60693,60712) = 3684793416 / 1
LCM(60693,60712) = 3684793416

Least Common Multiple (LCM) of 60693 and 60712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60693 and 60712. First we will calculate the prime factors of 60693 and 60712.

Prime Factorization of 60693

Prime Factorization of 60712

Now multiplying the highest exponent prime factors to calculate the LCM of 60693 and 60712.

LCM(60693,60712) = 3¹ × 20231¹ × 2³ × 7589¹
LCM(60693,60712) = 3684793416