What is the Least Common Multiple of 78374 and 78390?

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 78374 and 78390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78374 and 78390, than apply into the LCM equation.

GCF(78374,78390) = 2
LCM(78374,78390) = ( 78374 × 78390) / 2
LCM(78374,78390) = 6143737860 / 2
LCM(78374,78390) = 3071868930

Least Common Multiple (LCM) of 78374 and 78390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78374 and 78390. First we will calculate the prime factors of 78374 and 78390.

Prime Factorization of 78374

Prime Factorization of 78390

Now multiplying the highest exponent prime factors to calculate the LCM of 78374 and 78390.

LCM(78374,78390) = 2¹ × 149¹ × 263¹ × 3² × 5¹ × 13¹ × 67¹
LCM(78374,78390) = 3071868930