What is the Least Common Multiple of 67749 and 67767?

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 67749 and 67767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67749 and 67767, than apply into the LCM equation.

GCF(67749,67767) = 3
LCM(67749,67767) = ( 67749 × 67767) / 3
LCM(67749,67767) = 4591146483 / 3
LCM(67749,67767) = 1530382161

Least Common Multiple (LCM) of 67749 and 67767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67749 and 67767. First we will calculate the prime factors of 67749 and 67767.

Prime Factorization of 67749

Prime Factorization of 67767

Now multiplying the highest exponent prime factors to calculate the LCM of 67749 and 67767.

LCM(67749,67767) = 3¹ × 11¹ × 2053¹ × 7² × 461¹
LCM(67749,67767) = 1530382161