What is the Least Common Multiple of 76789 and 76801?

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 76789 and 76801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76789 and 76801, than apply into the LCM equation.

GCF(76789,76801) = 1
LCM(76789,76801) = ( 76789 × 76801) / 1
LCM(76789,76801) = 5897471989 / 1
LCM(76789,76801) = 5897471989

Least Common Multiple (LCM) of 76789 and 76801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76789 and 76801. First we will calculate the prime factors of 76789 and 76801.

Prime Factorization of 76789

Prime Factorization of 76801

Now multiplying the highest exponent prime factors to calculate the LCM of 76789 and 76801.

LCM(76789,76801) = 17¹ × 4517¹ × 76801¹
LCM(76789,76801) = 5897471989