What is the Least Common Multiple of 78920 and 78935?

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 78935 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 78935, than apply into the LCM equation.

GCF(78920,78935) = 5
LCM(78920,78935) = ( 78920 × 78935) / 5
LCM(78920,78935) = 6229550200 / 5
LCM(78920,78935) = 1245910040

Least Common Multiple (LCM) of 78920 and 78935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78920 and 78935. First we will calculate the prime factors of 78920 and 78935.

Prime Factorization of 78920

Prime Factorization of 78935

Now multiplying the highest exponent prime factors to calculate the LCM of 78920 and 78935.

LCM(78920,78935) = 2³ × 5¹ × 1973¹ × 15787¹
LCM(78920,78935) = 1245910040