What is the Least Common Multiple of 67716 and 67735?

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 67716 and 67735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67716 and 67735, than apply into the LCM equation.

GCF(67716,67735) = 19
LCM(67716,67735) = ( 67716 × 67735) / 19
LCM(67716,67735) = 4586743260 / 19
LCM(67716,67735) = 241407540

Least Common Multiple (LCM) of 67716 and 67735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67716 and 67735. First we will calculate the prime factors of 67716 and 67735.

Prime Factorization of 67716

Prime Factorization of 67735

Now multiplying the highest exponent prime factors to calculate the LCM of 67716 and 67735.

LCM(67716,67735) = 2² × 3⁴ × 11¹ × 19¹ × 5¹ × 23¹ × 31¹
LCM(67716,67735) = 241407540