What is the Least Common Multiple of 35394 and 35414?

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 35394 and 35414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35394 and 35414, than apply into the LCM equation.

GCF(35394,35414) = 2
LCM(35394,35414) = ( 35394 × 35414) / 2
LCM(35394,35414) = 1253443116 / 2
LCM(35394,35414) = 626721558

Least Common Multiple (LCM) of 35394 and 35414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35394 and 35414. First we will calculate the prime factors of 35394 and 35414.

Prime Factorization of 35394

Prime Factorization of 35414

Now multiplying the highest exponent prime factors to calculate the LCM of 35394 and 35414.

LCM(35394,35414) = 2¹ × 3¹ × 17¹ × 347¹ × 17707¹
LCM(35394,35414) = 626721558