What is the Least Common Multiple of 78920 and 78925?

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 78920 and 78925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78920 and 78925, than apply into the LCM equation.

GCF(78920,78925) = 5
LCM(78920,78925) = ( 78920 × 78925) / 5
LCM(78920,78925) = 6228761000 / 5
LCM(78920,78925) = 1245752200

Least Common Multiple (LCM) of 78920 and 78925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78920 and 78925. First we will calculate the prime factors of 78920 and 78925.

Prime Factorization of 78920

Prime Factorization of 78925

Now multiplying the highest exponent prime factors to calculate the LCM of 78920 and 78925.

LCM(78920,78925) = 2³ × 5² × 1973¹ × 7¹ × 11¹ × 41¹
LCM(78920,78925) = 1245752200