What is the Least Common Multiple of 67491 and 67501?

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 67491 and 67501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67491 and 67501, than apply into the LCM equation.

GCF(67491,67501) = 1
LCM(67491,67501) = ( 67491 × 67501) / 1
LCM(67491,67501) = 4555709991 / 1
LCM(67491,67501) = 4555709991

Least Common Multiple (LCM) of 67491 and 67501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67491 and 67501. First we will calculate the prime factors of 67491 and 67501.

Prime Factorization of 67491

Prime Factorization of 67501

Now multiplying the highest exponent prime factors to calculate the LCM of 67491 and 67501.

LCM(67491,67501) = 3² × 7499¹ × 7¹ × 9643¹
LCM(67491,67501) = 4555709991