What is the Least Common Multiple of 79040 and 79047?

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 79040 and 79047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79040 and 79047, than apply into the LCM equation.

GCF(79040,79047) = 1
LCM(79040,79047) = ( 79040 × 79047) / 1
LCM(79040,79047) = 6247874880 / 1
LCM(79040,79047) = 6247874880

Least Common Multiple (LCM) of 79040 and 79047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79040 and 79047. First we will calculate the prime factors of 79040 and 79047.

Prime Factorization of 79040

Prime Factorization of 79047

Now multiplying the highest exponent prime factors to calculate the LCM of 79040 and 79047.

LCM(79040,79047) = 2⁶ × 5¹ × 13¹ × 19¹ × 3² × 8783¹
LCM(79040,79047) = 6247874880