What is the Least Common Multiple of 76890 and 76895?

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 76890 and 76895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76890 and 76895, than apply into the LCM equation.

GCF(76890,76895) = 5
LCM(76890,76895) = ( 76890 × 76895) / 5
LCM(76890,76895) = 5912456550 / 5
LCM(76890,76895) = 1182491310

Least Common Multiple (LCM) of 76890 and 76895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76890 and 76895. First we will calculate the prime factors of 76890 and 76895.

Prime Factorization of 76890

Prime Factorization of 76895

Now multiplying the highest exponent prime factors to calculate the LCM of 76890 and 76895.

LCM(76890,76895) = 2¹ × 3¹ × 5¹ × 11¹ × 233¹ × 7¹ × 13³
LCM(76890,76895) = 1182491310