What is the Least Common Multiple of 78905 and 78920?

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 78905 and 78920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78905 and 78920, than apply into the LCM equation.

GCF(78905,78920) = 5
LCM(78905,78920) = ( 78905 × 78920) / 5
LCM(78905,78920) = 6227182600 / 5
LCM(78905,78920) = 1245436520

Least Common Multiple (LCM) of 78905 and 78920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78905 and 78920. First we will calculate the prime factors of 78905 and 78920.

Prime Factorization of 78905

Prime Factorization of 78920

Now multiplying the highest exponent prime factors to calculate the LCM of 78905 and 78920.

LCM(78905,78920) = 5¹ × 43¹ × 367¹ × 2³ × 1973¹
LCM(78905,78920) = 1245436520