What is the Least Common Multiple of 77874 and 77890?

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 77874 and 77890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77874 and 77890, than apply into the LCM equation.

GCF(77874,77890) = 2
LCM(77874,77890) = ( 77874 × 77890) / 2
LCM(77874,77890) = 6065605860 / 2
LCM(77874,77890) = 3032802930

Least Common Multiple (LCM) of 77874 and 77890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77874 and 77890. First we will calculate the prime factors of 77874 and 77890.

Prime Factorization of 77874

Prime Factorization of 77890

Now multiplying the highest exponent prime factors to calculate the LCM of 77874 and 77890.

LCM(77874,77890) = 2¹ × 3¹ × 12979¹ × 5¹ × 7789¹
LCM(77874,77890) = 3032802930