What is the Least Common Multiple of 79890 and 79904?

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 79890 and 79904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79890 and 79904, than apply into the LCM equation.

GCF(79890,79904) = 2
LCM(79890,79904) = ( 79890 × 79904) / 2
LCM(79890,79904) = 6383530560 / 2
LCM(79890,79904) = 3191765280

Least Common Multiple (LCM) of 79890 and 79904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79890 and 79904. First we will calculate the prime factors of 79890 and 79904.

Prime Factorization of 79890

Prime Factorization of 79904

Now multiplying the highest exponent prime factors to calculate the LCM of 79890 and 79904.

LCM(79890,79904) = 2⁵ × 3¹ × 5¹ × 2663¹ × 11¹ × 227¹
LCM(79890,79904) = 3191765280