What is the Least Common Multiple of 78820 and 78838?

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 78820 and 78838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78820 and 78838, than apply into the LCM equation.

GCF(78820,78838) = 2
LCM(78820,78838) = ( 78820 × 78838) / 2
LCM(78820,78838) = 6214011160 / 2
LCM(78820,78838) = 3107005580

Least Common Multiple (LCM) of 78820 and 78838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78820 and 78838. First we will calculate the prime factors of 78820 and 78838.

Prime Factorization of 78820

Prime Factorization of 78838

Now multiplying the highest exponent prime factors to calculate the LCM of 78820 and 78838.

LCM(78820,78838) = 2² × 5¹ × 7¹ × 563¹ × 39419¹
LCM(78820,78838) = 3107005580