What is the Least Common Multiple of 78354 and 78374?

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 78354 and 78374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78354 and 78374, than apply into the LCM equation.

GCF(78354,78374) = 2
LCM(78354,78374) = ( 78354 × 78374) / 2
LCM(78354,78374) = 6140916396 / 2
LCM(78354,78374) = 3070458198

Least Common Multiple (LCM) of 78354 and 78374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78354 and 78374. First we will calculate the prime factors of 78354 and 78374.

Prime Factorization of 78354

Prime Factorization of 78374

Now multiplying the highest exponent prime factors to calculate the LCM of 78354 and 78374.

LCM(78354,78374) = 2¹ × 3³ × 1451¹ × 149¹ × 263¹
LCM(78354,78374) = 3070458198