What is the Least Common Multiple of 76965 and 76971?

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 76965 and 76971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76965 and 76971, than apply into the LCM equation.

GCF(76965,76971) = 3
LCM(76965,76971) = ( 76965 × 76971) / 3
LCM(76965,76971) = 5924073015 / 3
LCM(76965,76971) = 1974691005

Least Common Multiple (LCM) of 76965 and 76971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76965 and 76971. First we will calculate the prime factors of 76965 and 76971.

Prime Factorization of 76965

Prime Factorization of 76971

Now multiplying the highest exponent prime factors to calculate the LCM of 76965 and 76971.

LCM(76965,76971) = 3¹ × 5¹ × 7¹ × 733¹ × 25657¹
LCM(76965,76971) = 1974691005