What is the Least Common Multiple of 68760 and 68767?

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 68760 and 68767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68760 and 68767, than apply into the LCM equation.

GCF(68760,68767) = 1
LCM(68760,68767) = ( 68760 × 68767) / 1
LCM(68760,68767) = 4728418920 / 1
LCM(68760,68767) = 4728418920

Least Common Multiple (LCM) of 68760 and 68767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68760 and 68767. First we will calculate the prime factors of 68760 and 68767.

Prime Factorization of 68760

Prime Factorization of 68767

Now multiplying the highest exponent prime factors to calculate the LCM of 68760 and 68767.

LCM(68760,68767) = 2³ × 3² × 5¹ × 191¹ × 68767¹
LCM(68760,68767) = 4728418920