What is the Least Common Multiple of 76760 and 76767?

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 76760 and 76767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76760 and 76767, than apply into the LCM equation.

GCF(76760,76767) = 1
LCM(76760,76767) = ( 76760 × 76767) / 1
LCM(76760,76767) = 5892634920 / 1
LCM(76760,76767) = 5892634920

Least Common Multiple (LCM) of 76760 and 76767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76760 and 76767. First we will calculate the prime factors of 76760 and 76767.

Prime Factorization of 76760

Prime Factorization of 76767

Now multiplying the highest exponent prime factors to calculate the LCM of 76760 and 76767.

LCM(76760,76767) = 2³ × 5¹ × 19¹ × 101¹ × 3¹ × 25589¹
LCM(76760,76767) = 5892634920