What is the Least Common Multiple of 6762 and 6769?

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 6762 and 6769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6762 and 6769, than apply into the LCM equation.

GCF(6762,6769) = 7
LCM(6762,6769) = ( 6762 × 6769) / 7
LCM(6762,6769) = 45771978 / 7
LCM(6762,6769) = 6538854

Least Common Multiple (LCM) of 6762 and 6769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6762 and 6769. First we will calculate the prime factors of 6762 and 6769.

Prime Factorization of 6762

Prime Factorization of 6769

Now multiplying the highest exponent prime factors to calculate the LCM of 6762 and 6769.

LCM(6762,6769) = 2¹ × 3¹ × 7² × 23¹ × 967¹
LCM(6762,6769) = 6538854